2520768 has 56 divisors (see below), whose sum is σ = 7030720. Its totient is φ = 794880.

The previous prime is 2520697. The next prime is 2520769. The reversal of 2520768 is 8670252.

It is a d-powerful number, because it can be written as 2²⁰ + 5⁸ + 2²⁰ + 0 + 7 + 6³ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (2520769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3303 + ... + 3993.

2^2520768 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 2520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515360).

2520768 is an abundant number, since it is smaller than the sum of its proper divisors (4509952).

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

2520768 is a wasteful number, since it uses less digits than its factorization.

2520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2520768 is about 1587.6926654740. The cubic root of 2520768 is about 136.0956651021.

The spelling of 2520768 in words is "two million, five hundred twenty thousand, seven hundred sixty-eight".