2542065800 has 96 divisors (see below), whose sum is σ = 6200496000. Its totient is φ = 967380480.

The previous prime is 2542065791. The next prime is 2542065821. The reversal of 2542065800 is 85602452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914012 + ... + 916788.

It is an arithmetic number, because the mean of its divisors is an integer number (64588500).

Almost surely, 2^2542065800 is an apocalyptic number.

2542065800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542065800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100248000).

2542065800 is an abundant number, since it is smaller than the sum of its proper divisors (3658430200).

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

2542065800 is a wasteful number, since it uses less digits than its factorization.

2542065800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2542065800 is about 50418.9032010812. The cubic root of 2542065800 is about 1364.7787840287.

The spelling of 2542065800 in words is "two billion, five hundred forty-two million, sixty-five thousand, eight hundred".