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2124978080 = 255313711579
BaseRepresentation
bin111111010101000…
…1001011110100000
312111002112001220212
41332222021132200
513322443244310
6550505353252
7103442005241
oct17652113640
95432461825
102124978080
119a0549535
124b3798828
1327b3250a4
1416230ccc8
15c684d205
hex7ea897a0

2124978080 has 96 divisors (see below), whose sum is σ = 5322723840. Its totient is φ = 800271360.

The previous prime is 2124978071. The next prime is 2124978091. The reversal of 2124978080 is 808794212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177731 + ... + 189309.

It is an arithmetic number, because the mean of its divisors is an integer number (55445040).

Almost surely, 22124978080 is an apocalyptic number.

2124978080 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 2124978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661361920).

2124978080 is an abundant number, since it is smaller than the sum of its proper divisors (3197745760).

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

2124978080 is a wasteful number, since it uses less digits than its factorization.

2124978080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11662 (or 11654 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 2124978080 is about 46097.4845300695. The cubic root of 2124978080 is about 1285.6363747263.

The spelling of 2124978080 in words is "two billion, one hundred twenty-four million, nine hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 74 80 124 148 155 160 185 248 296 310 370 496 592 620 740 992 1147 1184 1240 1480 2294 2480 2960 4588 4960 5735 5920 9176 11470 11579 18352 22940 23158 36704 45880 46316 57895 91760 92632 115790 183520 185264 231580 358949 370528 428423 463160 717898 856846 926320 1435796 1713692 1794745 1852640 2142115 2871592 3427384 3589490 4284230 5743184 6854768 7178980 8568460 11486368 13281113 13709536 14357960 17136920 26562226 28715920 34273840 53124452 57431840 66405565 68547680 106248904 132811130 212497808 265622260 424995616 531244520 1062489040 2124978080