2490568800 has 144 divisors (see below), whose sum is σ = 8459458560. Its totient is φ = 635261440.

The previous prime is 2490568789. The next prime is 2490568853. The reversal of 2490568800 is 88650942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32641 + ... + 77759.

It is an arithmetic number, because the mean of its divisors is an integer number (58746240).

Almost surely, 2^2490568800 is an apocalyptic number.

2490568800 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 2490568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229729280).

2490568800 is an abundant number, since it is smaller than the sum of its proper divisors (5968889760).

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

2490568800 is a wasteful number, since it uses less digits than its factorization.

2490568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45165 (or 45152 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2490568800 is about 49905.5988842935. The cubic root of 2490568800 is about 1355.4999766198.

The spelling of 2490568800 in words is "two billion, four hundred ninety million, five hundred sixty-eight thousand, eight hundred".