2956160 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 1136640.

The previous prime is 2956157. The next prime is 2956171. The reversal of 2956160 is 616592.

2956160 = T₁₂₀ + T₁₂₁ + ... + T₂₆₈.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19766 + ... + 19914.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

2^2956160 is an apocalyptic number.

2956160 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 2956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2956160 is an abundant number, since it is smaller than the sum of its proper divisors (4387840).

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

2956160 is a wasteful number, since it uses less digits than its factorization.

2956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 2956160 is about 1719.3487139030. The cubic root of 2956160 is about 143.5189710539.

The spelling of 2956160 in words is "two million, nine hundred fifty-six thousand, one hundred sixty".