2551320 has 96 divisors (see below), whose sum is σ = 8751600. Its totient is φ = 642816.

The previous prime is 2551313. The next prime is 2551349. The reversal of 2551320 is 231552.

It is a happy number.

2551320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2551293 and 2551302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6654 + ... + 7026.

2^2551320 is an apocalyptic number.

2551320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375800).

2551320 is an abundant number, since it is smaller than the sum of its proper divisors (6200280).

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

2551320 is a wasteful number, since it uses less digits than its factorization.

2551320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2551320 is about 1597.2851968262. The cubic root of 2551320 is about 136.6432903372.

Adding to 2551320 its reverse (231552), we get a palindrome (2782872).

The spelling of 2551320 in words is "two million, five hundred fifty-one thousand, three hundred twenty".