2479375304172 has 288 divisors, whose sum is σ = 7071645409920. Its totient is φ = 731750423040.

The previous prime is 2479375304167. The next prime is 2479375304177. The reversal of 2479375304172 is 2714035739742.

2479375304172 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 37 + 530 + 4 + 1 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2479375304167) and next prime (2479375304177).

It is a super-2 number, since 2×2479375304172² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2479375304177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207768718 + ... + 207780650.

It is an arithmetic number, because the mean of its divisors is an integer number (24554324340).

Almost surely, 2^{2479375304172} 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 2479375304172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535822704960).

2479375304172 is an abundant number, since it is smaller than the sum of its proper divisors (4592270105748).

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

2479375304172 is a wasteful number, since it uses less digits than its factorization.

2479375304172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12090 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 2479375304172 in words is "two trillion, four hundred seventy-nine billion, three hundred seventy-five million, three hundred four thousand, one hundred seventy-two".