2635620 has 96 divisors (see below), whose sum is σ = 8279040. Its totient is φ = 622080.

The previous prime is 2635613. The next prime is 2635643. The reversal of 2635620 is 265362.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24126 + ... + 24234.

It is an arithmetic number, because the mean of its divisors is an integer number (86240).

2^2635620 is an apocalyptic number.

2635620 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 2635620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139520).

2635620 is an abundant number, since it is smaller than the sum of its proper divisors (5643420).

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

2635620 is a wasteful number, since it uses less digits than its factorization.

2635620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2635620 is about 1623.4592695845. The cubic root of 2635620 is about 138.1319888221.

The spelling of 2635620 in words is "two million, six hundred thirty-five thousand, six hundred twenty".