2684880 has 160 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 645120.

The previous prime is 2684837. The next prime is 2684881. The reversal of 2684880 is 884862.

It is a super-2 number, since 2×2684880² = 14417161228800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23704 + ... + 23816.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

2^2684880 is an apocalyptic number.

2684880 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 2684880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

2684880 is an abundant number, since it is smaller than the sum of its proper divisors (7493040).

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

2684880 is a wasteful number, since it uses less digits than its factorization.

2684880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2684880 is about 1638.5603437164. The cubic root of 2684880 is about 138.9872493178.

The spelling of 2684880 in words is "two million, six hundred eighty-four thousand, eight hundred eighty".