2542056944 has 80 divisors (see below), whose sum is σ = 5897241600. Its totient is φ = 1038465792.

The previous prime is 2542056943. The next prime is 2542056953. The reversal of 2542056944 is 4496502452.

2542056944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542056941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251639 + ... + 261545.

It is an arithmetic number, because the mean of its divisors is an integer number (73715520).

Almost surely, 2^2542056944 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 2542056944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948620800).

2542056944 is an abundant number, since it is smaller than the sum of its proper divisors (3355184656).

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

2542056944 is a wasteful number, since it uses less digits than its factorization.

2542056944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 2542056944 is about 50418.8153768015. The cubic root of 2542056944 is about 1364.7771991635. Note that the first 3 decimals are identical.

The spelling of 2542056944 in words is "two billion, five hundred forty-two million, fifty-six thousand, nine hundred forty-four".