2576880 has 80 divisors (see below), whose sum is σ = 8883360. Its totient is φ = 686592.

The previous prime is 2576879. The next prime is 2576909. The reversal of 2576880 is 886752.

2576880 is a `hidden beast` number, since 2 + 576 + 8 + 80 = 666.

2576880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×2576880³ = 51333850229654016000, which contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564 + ... + 2756.

It is an arithmetic number, because the mean of its divisors is an integer number (111042).

2^2576880 is an apocalyptic number.

2576880 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 2576880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441680).

2576880 is an abundant number, since it is smaller than the sum of its proper divisors (6306480).

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

2576880 is a wasteful number, since it uses less digits than its factorization.

2576880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2576880 is about 1605.2663330426. The cubic root of 2576880 is about 137.0980880657.

The spelling of 2576880 in words is "two million, five hundred seventy-six thousand, eight hundred eighty".