2538766400 has 84 divisors (see below), whose sum is σ = 6614490708. Its totient is φ = 955760640.

The previous prime is 2538766387. The next prime is 2538766403. The reversal of 2538766400 is 46678352.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5053504 + 2533712896 = 2248^2 + 50336^2 .

It is not an unprimeable number, because it can be changed into a prime (2538766403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19469 + ... + 73868.

It is an arithmetic number, because the mean of its divisors is an integer number (78743937).

Almost surely, 2^2538766400 is an apocalyptic number.

2538766400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2538766400 is an abundant number, since it is smaller than the sum of its proper divisors (4075724308).

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

2538766400 is a wasteful number, since it uses less digits than its factorization.

2538766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93376 (or 93361 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 2538766400 is about 50386.1727064083. The cubic root of 2538766400 is about 1364.1880701451.

The spelling of 2538766400 in words is "two billion, five hundred thirty-eight million, seven hundred sixty-six thousand, four hundred".