2557620 has 72 divisors (see below), whose sum is σ = 8362536. Its totient is φ = 628992.

The previous prime is 2557613. The next prime is 2557631. The reversal of 2557620 is 267552.

2557620 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 2056356 = 708^2 + 1434^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1794 + ... + 2886.

2^2557620 is an apocalyptic number.

2557620 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 2557620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181268).

2557620 is an abundant number, since it is smaller than the sum of its proper divisors (5804916).

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

2557620 is a wasteful number, since it uses less digits than its factorization.

2557620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2557620 is about 1599.2560770558. The cubic root of 2557620 is about 136.7556694362.

It can be divided in two parts, 255 and 7620, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 2557620 in words is "two million, five hundred fifty-seven thousand, six hundred twenty".