2613920 has 72 divisors (see below), whose sum is σ = 6756372. Its totient is φ = 952320.

The previous prime is 2613901. The next prime is 2613931. The reversal of 2613920 is 293162.

2613920 = T₃₇₅ + T₃₇₆ + ... + T₄₀₈.

It can be written as a sum of positive squares in 2 ways, for example, as 2598544 + 15376 = 1612^2 + 124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84305 + ... + 84335.

2^2613920 is an apocalyptic number.

2613920 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 2613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378186).

2613920 is an abundant number, since it is smaller than the sum of its proper divisors (4142452).

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

2613920 is a wasteful number, since it uses less digits than its factorization.

2613920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2613920 is about 1616.7621964903. The cubic root of 2613920 is about 137.7518469718.

The spelling of 2613920 in words is "two million, six hundred thirteen thousand, nine hundred twenty".