2981160 has 216 divisors, whose sum is σ = 12204270. Its totient is φ = 628992.

The previous prime is 2981159. The next prime is 2981179. The reversal of 2981160 is 611892.

2981160 is digitally balanced in base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1285956 + 1695204 = 1134^2 + 1302^2 .

2981160 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 229314 + ... + 229326.

2^2981160 is an apocalyptic number.

2981160 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 2981160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102135).

2981160 is an abundant number, since it is smaller than the sum of its proper divisors (9223110).

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

2981160 is a wasteful number, since it uses less digits than its factorization.

2981160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2981160 is about 1726.6036024519. The cubic root of 2981160 is about 143.9224119063.

The spelling of 2981160 in words is "two million, nine hundred eighty-one thousand, one hundred sixty".