2551520 has 48 divisors (see below), whose sum is σ = 6205248. Its totient is φ = 990720.

The previous prime is 2551511. The next prime is 2551531. The reversal of 2551520 is 251552.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2551492 and 2551501.

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, 5705 + ... + 6135.

It is an arithmetic number, because the mean of its divisors is an integer number (129276).

2^2551520 is an apocalyptic number.

2551520 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 2551520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102624).

2551520 is an abundant number, since it is smaller than the sum of its proper divisors (3653728).

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

2551520 is a wasteful number, since it uses less digits than its factorization.

2551520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 2551520 is about 1597.3478018265. The cubic root of 2551520 is about 136.6468607692.

Subtracting from 2551520 its reverse (251552), we obtain a cube (2299968 = 132³).

The spelling of 2551520 in words is "two million, five hundred fifty-one thousand, five hundred twenty".