2551296 has 80 divisors (see below), whose sum is σ = 7463808. Its totient is φ = 768000.

The previous prime is 2551279. The next prime is 2551313. The reversal of 2551296 is 6921552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2551279) and next prime (2551313).

It is a super-2 number, since 2×2551296² = 13018222559232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16821 + ... + 16971.

2^2551296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731904).

2551296 is an abundant number, since it is smaller than the sum of its proper divisors (4912512).

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

2551296 is a wasteful number, since it uses less digits than its factorization.

2551296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 2551296 is about 1597.2776840612. The cubic root of 2551296 is about 136.6428618728.

Subtracting from 2551296 its product of digits (5400), we obtain a triangular number (2545896 = T₂₂₅₆).

It can be divided in two parts, 255 and 1296, that added together give a palindrome (1551).

The spelling of 2551296 in words is "two million, five hundred fifty-one thousand, two hundred ninety-six".