2577940 has 24 divisors (see below), whose sum is σ = 5454792. Its totient is φ = 1023360.

The previous prime is 2577923. The next prime is 2577941. The reversal of 2577940 is 497752.

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 2553604 = 156^2 + 1598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2577896 and 2577905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2577941) 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, 2730 + ... + 3550.

It is an arithmetic number, because the mean of its divisors is an integer number (227283).

2^2577940 is an apocalyptic number.

2577940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2577940 is an abundant number, since it is smaller than the sum of its proper divisors (2876852).

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

2577940 is a wasteful number, since it uses less digits than its factorization.

2577940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 2577940 is about 1605.5964623778. The cubic root of 2577940 is about 137.1168839288.

The spelling of 2577940 in words is "two million, five hundred seventy-seven thousand, nine hundred forty".