2642560 has 32 divisors (see below), whose sum is σ = 6318900. Its totient is φ = 1056768.

The previous prime is 2642543. The next prime is 2642561. The reversal of 2642560 is 652462.

It can be written as a sum of positive squares in 2 ways, for example, as 2637376 + 5184 = 1624^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1425 + ... + 2704.

2^2642560 is an apocalyptic number.

2642560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642560 is an abundant number, since it is smaller than the sum of its proper divisors (3676340).

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

2642560 is an equidigital number, since it uses as much as digits as its factorization.

2642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2642560 is about 1625.5952755837. The cubic root of 2642560 is about 138.2531236112.

The spelling of 2642560 in words is "two million, six hundred forty-two thousand, five hundred sixty".