2966880 has 96 divisors (see below), whose sum is σ = 10692864. Its totient is φ = 677376.

The previous prime is 2966879. The next prime is 2966881. The reversal of 2966880 is 886692.

It is an interprime number because it is at equal distance from previous prime (2966879) and next prime (2966881).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2919 + ... + 3801.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

2^2966880 is an apocalyptic number.

2966880 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 2966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432).

2966880 is an abundant number, since it is smaller than the sum of its proper divisors (7725984).

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

2966880 is a wasteful number, since it uses less digits than its factorization.

2966880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2966880 is about 1722.4633522952. The cubic root of 2966880 is about 143.6922439686.

The spelling of 2966880 in words is "two million, nine hundred sixty-six thousand, eight hundred eighty".