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2490901246944 = 253211786269333
BaseRepresentation
bin100100001111110101010…
…010001011001111100000
322211010110012011000110200
4210033311102023033200
5311302331204400234
65144145414225200
7344650566153525
oct44176522131740
98733405130420
102490901246944
118804268a8460
12342905955200
13150b77636aa6
14887bb51314c
1544bd9e28d99
hex243f548b3e0

2490901246944 has 72 divisors (see below), whose sum is σ = 7727455014552. Its totient is φ = 754818558720.

The previous prime is 2490901246921. The next prime is 2490901246957. The reversal of 2490901246944 is 4496421090942.

2490901246944 is a `hidden beast` number, since 2 + 4 + 90 + 90 + 1 + 2 + 469 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393131499 + ... + 393137834.

It is an arithmetic number, because the mean of its divisors is an integer number (107325764091).

Almost surely, 22490901246944 is an apocalyptic number.

2490901246944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2490901246944 is an abundant number, since it is smaller than the sum of its proper divisors (5236553767608).

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

2490901246944 is a wasteful number, since it uses less digits than its factorization.

2490901246944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786269360 (or 786269349 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2490901246944 in words is "two trillion, four hundred ninety billion, nine hundred one million, two hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 786269333 1572538666 2358807999 3145077332 4717615998 6290154664 7076423997 8648962663 9435231996 12580309328 14152847994 17297925326 18870463992 25160618656 25946887989 28305695988 34595850652 37740927984 51893775978 56611391976 69191701304 75481855968 77840663967 103787551956 113222783952 138383402608 155681327934 207575103912 226445567904 276766805216 311362655868 415150207824 622725311736 830300415648 1245450623472 2490901246944