2561600 has 42 divisors (see below), whose sum is σ = 6307074. Its totient is φ = 1024000.

The previous prime is 2561593. The next prime is 2561627. The reversal of 2561600 is 61652.

2561600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 861184 + 1700416 = 928^2 + 1304^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 800 + ... + 2400.

2^2561600 is an apocalyptic number.

2561600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1600×1601.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153537).

2561600 is an abundant number, since it is smaller than the sum of its proper divisors (3745474).

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

2561600 is a wasteful number, since it uses less digits than its factorization.

2561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2561600 is about 1600.4999218994. The cubic root of 2561600 is about 136.8265693979.

It can be divided in two parts, 256 and 1600, that multiplied together give a square (409600 = 640²).

The spelling of 2561600 in words is "two million, five hundred sixty-one thousand, six hundred".