2551170400 has 36 divisors (see below), whose sum is σ = 6228046692. Its totient is φ = 1020467840.

The previous prime is 2551170371. The next prime is 2551170409. The reversal of 2551170400 is 40711552.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551170409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1593682 + ... + 1595281.

It is an arithmetic number, because the mean of its divisors is an integer number (173001297).

Almost surely, 2^2551170400 is an apocalyptic number.

2551170400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551170400 is an abundant number, since it is smaller than the sum of its proper divisors (3676876292).

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

2551170400 is a wasteful number, since it uses less digits than its factorization.

2551170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188983 (or 3188970 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 2551170400 is about 50509.1120492135. The cubic root of 2551170400 is about 1366.4061953202.

Adding to 2551170400 its reverse (40711552), we get a palindrome (2591881952).

The spelling of 2551170400 in words is "two billion, five hundred fifty-one million, one hundred seventy thousand, four hundred".