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2041242240 = 27358312809
BaseRepresentation
bin111100110101010…
…1110001010000000
312021020221211221110
41321222232022000
513140024222430
6534314523320
7101404162362
oct17152561200
95236854843
102041242240
11958256564
1248b736540
13266b8745b
14155152d32
15be30c7b0
hex79aae280

2041242240 has 128 divisors (see below), whose sum is σ = 6585364800. Its totient is φ = 537731072.

The previous prime is 2041242187. The next prime is 2041242263. The reversal of 2041242240 is 422421402.

It is a tau number, because it is divible by the number of its divisors (128).

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, 152956 + ... + 165764.

Almost surely, 22041242240 is an apocalyptic number.

2041242240 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 2041242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292682400).

2041242240 is an abundant number, since it is smaller than the sum of its proper divisors (4544122560).

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

2041242240 is a wasteful number, since it uses less digits than its factorization.

2041242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12914 (or 12902 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2041242240 is about 45180.1088976111. The cubic root of 2041242240 is about 1268.5225217965.

Adding to 2041242240 its reverse (422421402), we get a palindrome (2463663642).

The spelling of 2041242240 in words is "two billion, forty-one million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 320 332 384 415 480 498 640 664 830 960 996 1245 1328 1660 1920 1992 2490 2656 3320 3984 4980 5312 6640 7968 9960 10624 12809 13280 15936 19920 25618 26560 31872 38427 39840 51236 53120 64045 76854 79680 102472 128090 153708 159360 192135 204944 256180 307416 384270 409888 512360 614832 768540 819776 1024720 1063147 1229664 1537080 1639552 2049440 2126294 2459328 3074160 3189441 4098880 4252588 4918656 5315735 6148320 6378882 8197760 8505176 10631470 12296640 12757764 15947205 17010352 21262940 24593280 25515528 31894410 34020704 42525880 51031056 63788820 68041408 85051760 102062112 127577640 136082816 170103520 204124224 255155280 340207040 408248448 510310560 680414080 1020621120 2041242240