2551600 has 30 divisors (see below), whose sum is σ = 6131180. Its totient is φ = 1020480.

The previous prime is 2551559. The next prime is 2551603. The reversal of 2551600 is 61552.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2551603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2790 + ... + 3589.

2^2551600 is an apocalyptic number.

2551600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551600 is an abundant number, since it is smaller than the sum of its proper divisors (3579580).

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

2551600 is a wasteful number, since it uses less digits than its factorization.

2551600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 2551600 is about 1597.3728431396. The cubic root of 2551600 is about 136.6482888898.

The spelling of 2551600 in words is "two million, five hundred fifty-one thousand, six hundred".