2551240400 has 30 divisors (see below), whose sum is σ = 6129356022. Its totient is φ = 1020496000.

The previous prime is 2551240379. The next prime is 2551240453. The reversal of 2551240400 is 40421552.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2202256 + 2549038144 = 1484^2 + 50488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3188651 + ... + 3189450.

Almost surely, 2^2551240400 is an apocalyptic number.

2551240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551240400 is an abundant number, since it is smaller than the sum of its proper divisors (3578115622).

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

2551240400 is a wasteful number, since it uses less digits than its factorization.

2551240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378119 (or 6378108 counting only the distinct ones).

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

The square root of 2551240400 is about 50509.8049887346. The cubic root of 2551240400 is about 1366.4186925331.

Adding to 2551240400 its reverse (40421552), we get a palindrome (2591661952).

The spelling of 2551240400 in words is "two billion, five hundred fifty-one million, two hundred forty thousand, four hundred".