2479901264896 has 132 divisors (see below), whose sum is σ = 5477602999680. Its totient is φ = 1121315430400.

The previous prime is 2479901264849. The next prime is 2479901264899. The reversal of 2479901264896 is 6984621099742.

It is a happy number.

It is a super-2 number, since 2×2479901264896² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2479901264899) 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 11 ways as a sum of consecutive naturals, for example, 23613270 + ... + 23718058.

Almost surely, 2^{2479901264896} 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 2479901264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738801499840).

2479901264896 is an abundant number, since it is smaller than the sum of its proper divisors (2997701734784).

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

2479901264896 is a wasteful number, since it uses less digits than its factorization.

2479901264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105022 (or 104993 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 67.

The spelling of 2479901264896 in words is "two trillion, four hundred seventy-nine billion, nine hundred one million, two hundred sixty-four thousand, eight hundred ninety-six".