2506390800 has 120 divisors (see below), whose sum is σ = 8165117280. Its totient is φ = 657024000.

The previous prime is 2506390793. The next prime is 2506390867. The reversal of 2506390800 is 80936052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 53100 + ... + 88500.

It is an arithmetic number, because the mean of its divisors is an integer number (68042644).

Almost surely, 2^2506390800 is an apocalyptic number.

2506390800 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 2506390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082558640).

2506390800 is an abundant number, since it is smaller than the sum of its proper divisors (5658726480).

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

2506390800 is a wasteful number, since it uses less digits than its factorization.

2506390800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35481 (or 35470 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2506390800 is about 50063.8672097951. The cubic root of 2506390800 is about 1358.3643109182.

The spelling of 2506390800 in words is "two billion, five hundred six million, three hundred ninety thousand, eight hundred".