2567920 has 20 divisors (see below), whose sum is σ = 5970600. Its totient is φ = 1027136.

The previous prime is 2567891. The next prime is 2567923. The reversal of 2567920 is 297652.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567923) 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, 15970 + ... + 16129.

It is an arithmetic number, because the mean of its divisors is an integer number (298530).

2^2567920 is an apocalyptic number.

2567920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2567920 is an abundant number, since it is smaller than the sum of its proper divisors (3402680).

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

2567920 is a wasteful number, since it uses less digits than its factorization.

2567920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32112 (or 32106 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2567920 is about 1602.4730886976. The cubic root of 2567920 is about 136.9390035177.

The spelling of 2567920 in words is "two million, five hundred sixty-seven thousand, nine hundred twenty".