2657000 has 32 divisors (see below), whose sum is σ = 6219720. Its totient is φ = 1062400.

The previous prime is 2656993. The next prime is 2657003. The reversal of 2657000 is 7562.

It can be written as a sum of positive squares in 4 ways, for example, as 972196 + 1684804 = 986^2 + 1298^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2657003) 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, 329 + ... + 2328.

2^2657000 is an apocalyptic number.

2657000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2657000 is an abundant number, since it is smaller than the sum of its proper divisors (3562720).

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

2657000 is a wasteful number, since it uses less digits than its factorization.

2657000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2657000 is about 1630.0306745580. The cubic root of 2657000 is about 138.5044896823.

The spelling of 2657000 in words is "two million, six hundred fifty-seven thousand".