2542804992 has 336 divisors, whose sum is σ = 9064386240. Its totient is φ = 668860416.

The previous prime is 2542804973. The next prime is 2542805021. The reversal of 2542804992 is 2994082452.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6709059 + ... + 6709437.

It is an arithmetic number, because the mean of its divisors is an integer number (26977340).

Almost surely, 2^2542804992 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 2542804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532193120).

2542804992 is an abundant number, since it is smaller than the sum of its proper divisors (6521581248).

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

2542804992 is a wasteful number, since it uses less digits than its factorization.

2542804992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2542804992 is about 50426.2331728238. The cubic root of 2542804992 is about 1364.9110564756.

The spelling of 2542804992 in words is "two billion, five hundred forty-two million, eight hundred four thousand, nine hundred ninety-two".