2541124400 has 60 divisors (see below), whose sum is σ = 6111567912. Its totient is φ = 1015365120.

The previous prime is 2541124393. The next prime is 2541124409. The reversal of 2541124400 is 44211452.

It is not an unprimeable number, because it can be changed into a prime (2541124409) 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, 446372 + ... + 452028.

Almost surely, 2^2541124400 is an apocalyptic number.

2541124400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541124400 is an abundant number, since it is smaller than the sum of its proper divisors (3570443512).

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

2541124400 is a wasteful number, since it uses less digits than its factorization.

2541124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2541124400 is about 50409.5665523916. The cubic root of 2541124400 is about 1364.6102909630.

Adding to 2541124400 its reverse (44211452), we get a palindrome (2585335852).

The spelling of 2541124400 in words is "two billion, five hundred forty-one million, one hundred twenty-four thousand, four hundred".