2312880 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 588544.

The previous prime is 2312873. The next prime is 2312881. The reversal of 2312880 is 882132.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2312880.

It is not an unprimeable number, because it can be changed into a prime (2312881) 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, 5311 + ... + 5729.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^2312880 is an apocalyptic number.

2312880 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 2312880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2312880 is an abundant number, since it is smaller than the sum of its proper divisors (5186640).

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

2312880 is a wasteful number, since it uses less digits than its factorization.

2312880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2312880 is about 1520.8155706725. The cubic root of 2312880 is about 132.2465547992.

The spelling of 2312880 in words is "two million, three hundred twelve thousand, eight hundred eighty".