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2126010240 = 2734541011
BaseRepresentation
bin111111010111000…
…0101011110000000
312111011110111210000
41332232011132000
513323224311430
6550543440000
7103453534404
oct17656053600
95434414700
102126010240
119a1093a62
124b3bb6000
1327b5c6b33
141624db104
15c69a3e60
hex7eb85780

2126010240 has 160 divisors (see below), whose sum is σ = 7592551560. Its totient is φ = 566922240.

The previous prime is 2126010233. The next prime is 2126010323. The reversal of 2126010240 is 420106212.

2126010240 is a `hidden beast` number, since 21 + 2 + 601 + 0 + 2 + 40 = 666.

2126010240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31335 + ... + 72345.

Almost surely, 22126010240 is an apocalyptic number.

2126010240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796275780).

2126010240 is an abundant number, since it is smaller than the sum of its proper divisors (5466541320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2126010240 is an equidigital number, since it uses as much as digits as its factorization.

2126010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41042 (or 41021 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2126010240 is about 46108.6785757302. The cubic root of 2126010240 is about 1285.8444972885.

Adding to 2126010240 its reverse (420106212), we get a palindrome (2546116452).

The spelling of 2126010240 in words is "two billion, one hundred twenty-six million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 41011 51840 82022 123033 164044 205055 246066 328088 369099 410110 492132 615165 656176 738198 820220 984264 1107297 1230330 1312352 1476396 1640440 1845495 1968528 2214594 2460660 2624704 2952792 3280880 3321891 3690990 3937056 4429188 4921320 5249408 5536485 5905584 6561760 6643782 7381980 7874112 8858376 9842640 11072970 11811168 13123520 13287564 14763960 15748224 16609455 17716752 19685280 22145940 23622336 26247040 26575128 29527920 33218910 35433504 39370560 44291880 47244672 53150256 59055840 66437820 70867008 78741120 88583760 106300512 118111680 132875640 141734016 177167520 212601024 236223360 265751280 354335040 425202048 531502560 708670080 1063005120 2126010240