2656160 has 48 divisors (see below), whose sum is σ = 6763176. Its totient is φ = 979968.

The previous prime is 2656141. The next prime is 2656163. The reversal of 2656160 is 616562.

2656160 = T₂₂₁ + T₂₂₂ + ... + T₂₉₈.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 795664 = 1364^2 + 892^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2656163) 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, 1442 + ... + 2718.

2^2656160 is an apocalyptic number.

2656160 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 2656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381588).

2656160 is an abundant number, since it is smaller than the sum of its proper divisors (4107016).

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

2656160 is a wasteful number, since it uses less digits than its factorization.

2656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2656160 is about 1629.7729903272. The cubic root of 2656160 is about 138.4898922624.

The spelling of 2656160 in words is "two million, six hundred fifty-six thousand, one hundred sixty".