2572950800 has 180 divisors, whose sum is σ = 7233193296. Its totient is φ = 876960000.

The previous prime is 2572950791. The next prime is 2572950841. The reversal of 2572950800 is 80592752.

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 35 ways as a sum of consecutive naturals, for example, 4919339 + ... + 4919861.

Almost surely, 2^2572950800 is an apocalyptic number.

2572950800 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 2572950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616596648).

2572950800 is an abundant number, since it is smaller than the sum of its proper divisors (4660242496).

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

2572950800 is a wasteful number, since it uses less digits than its factorization.

2572950800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 2572950800 is about 50724.2624391918. The cubic root of 2572950800 is about 1370.2837070284.

The spelling of 2572950800 in words is "two billion, five hundred seventy-two million, nine hundred fifty thousand, eight hundred".