2612680 has 96 divisors (see below), whose sum is σ = 7223040. Its totient is φ = 846720.

The previous prime is 2612677. The next prime is 2612699. The reversal of 2612680 is 862162.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60739 + ... + 60781.

It is an arithmetic number, because the mean of its divisors is an integer number (75240).

2^2612680 is an apocalyptic number.

2612680 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 2612680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611520).

2612680 is an abundant number, since it is smaller than the sum of its proper divisors (4610360).

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

2612680 is a wasteful number, since it uses less digits than its factorization.

2612680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2612680 is about 1616.3786685056. The cubic root of 2612680 is about 137.7300611345.

The spelling of 2612680 in words is "two million, six hundred twelve thousand, six hundred eighty".