2979160 has 32 divisors (see below), whose sum is σ = 6804000. Its totient is φ = 1173760.

The previous prime is 2979149. The next prime is 2979173. The reversal of 2979160 is 619792.

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, 2316 + ... + 3364.

It is an arithmetic number, because the mean of its divisors is an integer number (212625).

2^2979160 is an apocalyptic number.

2979160 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 2979160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402000).

2979160 is an abundant number, since it is smaller than the sum of its proper divisors (3824840).

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

2979160 is a wasteful number, since it uses less digits than its factorization.

2979160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 2979160 is about 1726.0243335481. The cubic root of 2979160 is about 143.8902198269.

The spelling of 2979160 in words is "two million, nine hundred seventy-nine thousand, one hundred sixty".