2513656419640 has 32 divisors (see below), whose sum is σ = 5655947218560. Its totient is φ = 1005423408000.

The previous prime is 2513656419587. The next prime is 2513656419647. The reversal of 2513656419640 is 469146563152.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513656419647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172731 + ... + 2248810.

It is an arithmetic number, because the mean of its divisors is an integer number (176748350580).

Almost surely, 2^{2513656419640} is an apocalyptic number.

2513656419640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513656419640 is an abundant number, since it is smaller than the sum of its proper divisors (3142290798920).

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

2513656419640 is a wasteful number, since it uses less digits than its factorization.

2513656419640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447503 (or 2447499 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 2513656419640 in words is "two trillion, five hundred thirteen billion, six hundred fifty-six million, four hundred nineteen thousand, six hundred forty".