2502864621642 has 128 divisors (see below), whose sum is σ = 6305124188160. Its totient is φ = 643430208960.

The previous prime is 2502864621629. The next prime is 2502864621667. The reversal of 2502864621642 is 2461264682052.

It is a junction number, because it is equal to n+sod(n) for n = 2502864621591 and 2502864621600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24533503 + ... + 24635309.

It is an arithmetic number, because the mean of its divisors is an integer number (49258782720).

Almost surely, 2^{2502864621642} is an apocalyptic number.

2502864621642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502864621642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152562094080).

2502864621642 is an abundant number, since it is smaller than the sum of its proper divisors (3802259566518).

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

2502864621642 is a wasteful number, since it uses less digits than its factorization.

2502864621642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102376.

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 2502864621642 in words is "two trillion, five hundred two billion, eight hundred sixty-four million, six hundred twenty-one thousand, six hundred forty-two".