2462880 has 96 divisors (see below), whose sum is σ = 8878464. Its totient is φ = 562176.

The previous prime is 2462879. The next prime is 2462891. The reversal of 2462880 is 882642.

It is a happy number.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2994 + ... + 3726.

It is an arithmetic number, because the mean of its divisors is an integer number (92484).

2^2462880 is an apocalyptic number.

2462880 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 2462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439232).

2462880 is an abundant number, since it is smaller than the sum of its proper divisors (6415584).

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

2462880 is a wasteful number, since it uses less digits than its factorization.

2462880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2462880 is about 1569.3565560445. The cubic root of 2462880 is about 135.0458006463.

The spelling of 2462880 in words is "two million, four hundred sixty-two thousand, eight hundred eighty".