2479310975232 has 2592 divisors, whose sum is σ = 10152693532800. Its totient is φ = 595954630656.

The previous prime is 2479310975231. The next prime is 2479310975291. The reversal of 2479310975232 is 2325790139742.

2479310975232 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 3 + 109 + 7 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×2479310975232² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479310975231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27857426644 + ... + 27857426732.

Almost surely, 2^{2479310975232} 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 2479310975232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076346766400).

2479310975232 is an abundant number, since it is smaller than the sum of its proper divisors (7673382557568).

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

2479310975232 is a wasteful number, since it uses less digits than its factorization.

2479310975232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 2479310975232 in words is "two trillion, four hundred seventy-nine billion, three hundred ten million, nine hundred seventy-five thousand, two hundred thirty-two".