2501468800 has 96 divisors (see below), whose sum is σ = 6196729500. Its totient is φ = 997785600.

The previous prime is 2501468777. The next prime is 2501468803. The reversal of 2501468800 is 88641052.

It can be written as a sum of positive squares in 6 ways, for example, as 253191744 + 2248277056 = 15912^2 + 47416^2 .

It is not an unprimeable number, because it can be changed into a prime (2501468803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1435930 + ... + 1437670.

Almost surely, 2^2501468800 is an apocalyptic number.

2501468800 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 2501468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098364750).

2501468800 is an abundant number, since it is smaller than the sum of its proper divisors (3695260700).

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

2501468800 is a wasteful number, since it uses less digits than its factorization.

2501468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 2501468800 is about 50014.6858432601. The cubic root of 2501468800 is about 1357.4745520340.

The spelling of 2501468800 in words is "two billion, five hundred one million, four hundred sixty-eight thousand, eight hundred".