2479129756096 has 112 divisors (see below), whose sum is σ = 5815323904000. Its totient is φ = 1026147087360.

The previous prime is 2479129756087. The next prime is 2479129756171. The reversal of 2479129756096 is 6906579219742.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2479129756096² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 6751246 + ... + 7108978.

Almost surely, 2^{2479129756096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2479129756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907661952000).

2479129756096 is an abundant number, since it is smaller than the sum of its proper divisors (3336194147904).

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

2479129756096 is a wasteful number, since it uses less digits than its factorization.

2479129756096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358282 (or 358272 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 67.

The spelling of 2479129756096 in words is "two trillion, four hundred seventy-nine billion, one hundred twenty-nine million, seven hundred fifty-six thousand, ninety-six".