2656000 has 72 divisors (see below), whose sum is σ = 6696144. Its totient is φ = 1049600.

The previous prime is 2655977. The next prime is 2656009. The reversal of 2656000 is 6562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656009) 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, 31959 + ... + 32041.

It is an arithmetic number, because the mean of its divisors is an integer number (93002).

2^2656000 is an apocalyptic number.

2656000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348072).

2656000 is an abundant number, since it is smaller than the sum of its proper divisors (4040144).

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

2656000 is an frugal number, since it uses more digits than its factorization.

2656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2656000 is about 1629.7239029971. The cubic root of 2656000 is about 138.4871114525.

The spelling of 2656000 in words is "two million, six hundred fifty-six thousand".