2490808900200 has 384 divisors, whose sum is σ = 8516990592000. Its totient is φ = 599419699200.

The previous prime is 2490808900193. The next prime is 2490808900219. The reversal of 2490808900200 is 20098080942.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34429666 + ... + 34501934.

It is an arithmetic number, because the mean of its divisors is an integer number (22179663000).

Almost surely, 2^{2490808900200} is an apocalyptic number.

2490808900200 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 2490808900200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258495296000).

2490808900200 is an abundant number, since it is smaller than the sum of its proper divisors (6026181691800).

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

2490808900200 is a wasteful number, since it uses less digits than its factorization.

2490808900200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72445 (or 72436 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 2490808900200 in words is "two trillion, four hundred ninety billion, eight hundred eight million, nine hundred thousand, two hundred".