2979080 has 64 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 1032192.

The previous prime is 2979073. The next prime is 2979091. The reversal of 2979080 is 809792.

It can be written as a sum of positive squares in 8 ways, for example, as 806404 + 2172676 = 898^2 + 1474^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2979080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8672 + ... + 9008.

2^2979080 is an apocalyptic number.

2979080 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 2979080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

2979080 is an abundant number, since it is smaller than the sum of its proper divisors (4686760).

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

2979080 is a wasteful number, since it uses less digits than its factorization.

2979080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 2979080 is about 1726.0011587482. The cubic root of 2979080 is about 143.8889318441. Note that the first 3 decimals are identical.

The spelling of 2979080 in words is "two million, nine hundred seventy-nine thousand, eighty".