2479510010880 has 1320 divisors, whose sum is σ = 10193140029072. Its totient is φ = 557160726528.

The previous prime is 2479510010837. The next prime is 2479510010933. The reversal of 2479510010880 is 880100159742.

2479510010880 is a `hidden beast` number, since 2 + 47 + 9 + 510 + 0 + 10 + 8 + 80 = 666.

It is a super-2 number, since 2×2479510010880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 8076579687 + ... + 8076579993.

Almost surely, 2^{2479510010880} is an apocalyptic number.

2479510010880 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 2479510010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096570014536).

2479510010880 is an abundant number, since it is smaller than the sum of its proper divisors (7713630018192).

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

2479510010880 is an equidigital number, since it uses as much as digits as its factorization.

2479510010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 2479510010880 in words is "two trillion, four hundred seventy-nine billion, five hundred ten million, ten thousand, eight hundred eighty".