2990880 has 144 divisors (see below), whose sum is σ = 10692864. Its totient is φ = 760320.

The previous prime is 2990879. The next prime is 2990881. The reversal of 2990880 is 880992.

It is an interprime number because it is at equal distance from previous prime (2990879) and next prime (2990881).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2990881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44607 + ... + 44673.

It is an arithmetic number, because the mean of its divisors is an integer number (74256).

2^2990880 is an apocalyptic number.

2990880 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 2990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432).

2990880 is an abundant number, since it is smaller than the sum of its proper divisors (7701984).

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

2990880 is a wasteful number, since it uses less digits than its factorization.

2990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2990880 is about 1729.4160864292. The cubic root of 2990880 is about 144.0786607271.

It can be divided in two parts, 29 and 90880, that added together give a palindrome (90909).

The spelling of 2990880 in words is "two million, nine hundred ninety thousand, eight hundred eighty".