2541250400 has 72 divisors (see below), whose sum is σ = 6681072384. Its totient is φ = 938304000.

The previous prime is 2541250357. The next prime is 2541250417. The reversal of 2541250400 is 40521452.

It is a happy number.

2541250400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111776 + ... + 132575.

It is an arithmetic number, because the mean of its divisors is an integer number (92792672).

Almost surely, 2^2541250400 is an apocalyptic number.

2541250400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541250400 is an abundant number, since it is smaller than the sum of its proper divisors (4139821984).

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

2541250400 is a wasteful number, since it uses less digits than its factorization.

2541250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244384 (or 244371 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2541250400 is about 50410.8162996792. The cubic root of 2541250400 is about 1364.6328450280.

Adding to 2541250400 its reverse (40521452), we get a palindrome (2581771852).

The spelling of 2541250400 in words is "two billion, five hundred forty-one million, two hundred fifty thousand, four hundred".