2513120 has 48 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 989184.

The previous prime is 2513113. The next prime is 2513123. The reversal of 2513120 is 213152.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2513095 and 2513104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18011 + ... + 18149.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

2^2513120 is an apocalyptic number.

2513120 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 2513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

2513120 is an abundant number, since it is smaller than the sum of its proper divisors (3519760).

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

2513120 is a wasteful number, since it uses less digits than its factorization.

2513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2513120 is about 1585.2823092434. The cubic root of 2513120 is about 135.9578877687.

Adding to 2513120 its reverse (213152), we get a palindrome (2726272).

Subtracting from 2513120 its reverse (213152), we obtain a cube (2299968 = 132³).

The spelling of 2513120 in words is "two million, five hundred thirteen thousand, one hundred twenty".