2541564400 has 60 divisors (see below), whose sum is σ = 6371614512. Its totient is φ = 972421120.

The previous prime is 2541564391. The next prime is 2541564401. The reversal of 2541564400 is 44651452.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541564401) 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, 128929 + ... + 147328.

Almost surely, 2^2541564400 is an apocalyptic number.

2541564400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541564400 is an abundant number, since it is smaller than the sum of its proper divisors (3830050112).

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

2541564400 is a wasteful number, since it uses less digits than its factorization.

2541564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276298 (or 276287 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 2541564400 is about 50413.9306144641. The cubic root of 2541564400 is about 1364.6890479464.

The spelling of 2541564400 in words is "two billion, five hundred forty-one million, five hundred sixty-four thousand, four hundred".