2611680 has 48 divisors (see below), whose sum is σ = 8228304. Its totient is φ = 696320.

The previous prime is 2611669. The next prime is 2611699. The reversal of 2611680 is 861162.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2611680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241 + ... + 3200.

It is an arithmetic number, because the mean of its divisors is an integer number (171423).

2^2611680 is an apocalyptic number.

2611680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2611680 is an abundant number, since it is smaller than the sum of its proper divisors (5616624).

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

2611680 is a wasteful number, since it uses less digits than its factorization.

2611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2611680 is about 1616.0693054445. The cubic root of 2611680 is about 137.7124868893.

The spelling of 2611680 in words is "two million, six hundred eleven thousand, six hundred eighty".