2501631624912 has 160 divisors (see below), whose sum is σ = 7641244262400. Its totient is φ = 690132718080.

The previous prime is 2501631624883. The next prime is 2501631624913. The reversal of 2501631624912 is 2194261361052.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501631624913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4343214 + ... + 4885362.

It is an arithmetic number, because the mean of its divisors is an integer number (47757776640).

Almost surely, 2^{2501631624912} 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 2501631624912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820622131200).

2501631624912 is an abundant number, since it is smaller than the sum of its proper divisors (5139612637488).

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

2501631624912 is a wasteful number, since it uses less digits than its factorization.

2501631624912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542641 (or 542635 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

Adding to 2501631624912 its reverse (2194261361052), we get a palindrome (4695892985964).

The spelling of 2501631624912 in words is "two trillion, five hundred one billion, six hundred thirty-one million, six hundred twenty-four thousand, nine hundred twelve".