2552406400 has 48 divisors (see below), whose sum is σ = 6305249340. Its totient is φ = 1020961280.

The previous prime is 2552406397. The next prime is 2552406419. The reversal of 2552406400 is 46042552.

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, 395614 + ... + 402013.

Almost surely, 2^2552406400 is an apocalyptic number.

2552406400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552406400 is an abundant number, since it is smaller than the sum of its proper divisors (3752842940).

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

2552406400 is an equidigital number, since it uses as much as digits as its factorization.

2552406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797651 (or 797634 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2552406400 is about 50521.3459836533. The cubic root of 2552406400 is about 1366.6268267850.

Adding to 2552406400 its reverse (46042552), we get a palindrome (2598448952).

The spelling of 2552406400 in words is "two billion, five hundred fifty-two million, four hundred six thousand, four hundred".