2561920 has 32 divisors (see below), whose sum is σ = 6126120. Its totient is φ = 1024512.

The previous prime is 2561899. The next prime is 2561921. The reversal of 2561920 is 291652.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561921) 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, 1362 + ... + 2641.

2^2561920 is an apocalyptic number.

2561920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561920 is an abundant number, since it is smaller than the sum of its proper divisors (3564200).

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

2561920 is an equidigital number, since it uses as much as digits as its factorization.

2561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 2561920 is about 1600.5998875422. The cubic root of 2561920 is about 136.8322667068.

It can be divided in two parts, 2561 and 920, that added together give a square (3481 = 59²).

The spelling of 2561920 in words is "two million, five hundred sixty-one thousand, nine hundred twenty".