2528640 has 96 divisors (see below), whose sum is σ = 8751600. Its totient is φ = 672768.

The previous prime is 2528629. The next prime is 2528651. The reversal of 2528640 is 468252.

It is an interprime number because it is at equal distance from previous prime (2528629) and next prime (2528651).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5541 + ... + 5979.

2^2528640 is an apocalyptic number.

2528640 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 2528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375800).

2528640 is an abundant number, since it is smaller than the sum of its proper divisors (6222960).

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

2528640 is a wasteful number, since it uses less digits than its factorization.

2528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2528640 is about 1590.1698022538. The cubic root of 2528640 is about 136.2371870228.

The spelling of 2528640 in words is "two million, five hundred twenty-eight thousand, six hundred forty".