2642624200644 has 96 divisors (see below), whose sum is σ = 6519531110400. Its totient is φ = 831917358720.

The previous prime is 2642624200639. The next prime is 2642624200739. The reversal of 2642624200644 is 4460024262462.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2642624200596 and 2642624200605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2716837 + ... + 3558995.

It is an arithmetic number, because the mean of its divisors is an integer number (67911782400).

Almost surely, 2^{2642624200644} 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 2642624200644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259765555200).

2642624200644 is an abundant number, since it is smaller than the sum of its proper divisors (3876906909756).

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

2642624200644 is a wasteful number, since it uses less digits than its factorization.

2642624200644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842393 (or 842391 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 2642624200644 in words is "two trillion, six hundred forty-two billion, six hundred twenty-four million, two hundred thousand, six hundred forty-four".