2577040 has 20 divisors (see below), whose sum is σ = 5991804. Its totient is φ = 1030784.

The previous prime is 2577037. The next prime is 2577041. The reversal of 2577040 is 407752.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 802816 = 1332^2 + 896^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2577040² = 13282270323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2576996 and 2577014.

It is not an unprimeable number, because it can be changed into a prime (2577041) 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, 16027 + ... + 16186.

2^2577040 is an apocalyptic number.

2577040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2577040 is an abundant number, since it is smaller than the sum of its proper divisors (3414764).

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

2577040 is a wasteful number, since it uses less digits than its factorization.

2577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32226 (or 32220 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 2577040 is about 1605.3161682360. The cubic root of 2577040 is about 137.1009255074.

The spelling of 2577040 in words is "two million, five hundred seventy-seven thousand, forty".