2968080 has 80 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 776704.

The previous prime is 2968057. The next prime is 2968099. The reversal of 2968080 is 808692.

It is a tau number, because it is divible by the number of its divisors (80).

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, 19846 + ... + 19994.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

2^2968080 is an apocalyptic number.

2968080 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 2968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

2968080 is an abundant number, since it is smaller than the sum of its proper divisors (6406320).

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

2968080 is a wasteful number, since it uses less digits than its factorization.

2968080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2968080 is about 1722.8116554052. The cubic root of 2968080 is about 143.7116141993.

The spelling of 2968080 in words is "two million, nine hundred sixty-eight thousand, eighty".