2657040 has 40 divisors (see below), whose sum is σ = 8237568. Its totient is φ = 708480.

The previous prime is 2657027. The next prime is 2657047. The reversal of 2657040 is 407562.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2657040.

It is not an unprimeable number, because it can be changed into a prime (2657047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5296 + ... + 5775.

2^2657040 is an apocalyptic number.

2657040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2657040 is an abundant number, since it is smaller than the sum of its proper divisors (5580528).

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

2657040 is a wasteful number, since it uses less digits than its factorization.

2657040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11087 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2657040 is about 1630.0429442196. The cubic root of 2657040 is about 138.5051847208.

Subtracting from 2657040 its product of nonzero digits (1680), we obtain a triangular number (2655360 = T₂₃₀₄).

The spelling of 2657040 in words is "two million, six hundred fifty-seven thousand, forty".