2613864 has 32 divisors (see below), whose sum is σ = 7129440. Its totient is φ = 792000.

The previous prime is 2613847. The next prime is 2613883. The reversal of 2613864 is 4683162.

2613864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 4687 + ... + 5214.

It is an arithmetic number, because the mean of its divisors is an integer number (222795).

2^2613864 is an apocalyptic number.

2613864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2613864 is an abundant number, since it is smaller than the sum of its proper divisors (4515576).

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

2613864 is a wasteful number, since it uses less digits than its factorization.

2613864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9921 (or 9917 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2613864 is about 1616.7448778332. The cubic root of 2613864 is about 137.7508632438.

The spelling of 2613864 in words is "two million, six hundred thirteen thousand, eight hundred sixty-four".