2613120 has 64 divisors (see below), whose sum is σ = 8335440. Its totient is φ = 696320.

The previous prime is 2613113. The next prime is 2613133. The reversal of 2613120 is 213162.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2613120² = 13656792268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2613120.

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, 1240 + ... + 2600.

2^2613120 is an apocalyptic number.

2613120 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 2613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167720).

2613120 is an abundant number, since it is smaller than the sum of its proper divisors (5722320).

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

2613120 is a wasteful number, since it uses less digits than its factorization.

2613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2613120 is about 1616.5147694964. The cubic root of 2613120 is about 137.7377923817.

Adding to 2613120 its reverse (213162), we get a palindrome (2826282).

The spelling of 2613120 in words is "two million, six hundred thirteen thousand, one hundred twenty".