2551968 has 36 divisors (see below), whose sum is σ = 7257978. Its totient is φ = 850560.

The previous prime is 2551961. The next prime is 2551979. The reversal of 2551968 is 8691552.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1411344 + 1140624 = 1188^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁰ + 5⁶ + 5⁹ + 1 + 9⁶ + 6⁶ + 8⁴ .

It is not an unprimeable number, because it can be changed into a prime (2551961) 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, 4143 + ... + 4718.

2^2551968 is an apocalyptic number.

It is an amenable number.

2551968 is an abundant number, since it is smaller than the sum of its proper divisors (4706010).

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

2551968 is a wasteful number, since it uses less digits than its factorization.

2551968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8866 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 2551968 is about 1597.4880281242. The cubic root of 2551968 is about 136.6548578600.

The spelling of 2551968 in words is "two million, five hundred fifty-one thousand, nine hundred sixty-eight".