2512456442496 has 1536 divisors, whose sum is σ = 10179606528000. Its totient is φ = 573707059200.

The previous prime is 2512456442449. The next prime is 2512456442669. The reversal of 2512456442496 is 6942446542152.

It is a happy number.

2512456442496 is a `hidden beast` number, since 2 + 5 + 12 + 45 + 64 + 42 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2395096180 + ... + 2395097228.

It is an arithmetic number, because the mean of its divisors is an integer number (6627348000).

Almost surely, 2^{2512456442496} is an apocalyptic number.

2512456442496 is a gapful number since it is divisible by the number (26) 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 2512456442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089803264000).

2512456442496 is an abundant number, since it is smaller than the sum of its proper divisors (7667150085504).

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

2512456442496 is a wasteful number, since it uses less digits than its factorization.

2512456442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1183 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 2512456442496 in words is "two trillion, five hundred twelve billion, four hundred fifty-six million, four hundred forty-two thousand, four hundred ninety-six".