2513680 has 40 divisors (see below), whose sum is σ = 6296472. Its totient is φ = 927744.

The previous prime is 2513677. The next prime is 2513689. The reversal of 2513680 is 863152.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 2062096 = 672^2 + 1436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2513689) 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, 169 + ... + 2248.

2^2513680 is an apocalyptic number.

2513680 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 2513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148236).

2513680 is an abundant number, since it is smaller than the sum of its proper divisors (3782792).

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

2513680 is a wasteful number, since it uses less digits than its factorization.

2513680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2513680 is about 1585.4589240974. The cubic root of 2513680 is about 135.9679855440.

The spelling of 2513680 in words is "two million, five hundred thirteen thousand, six hundred eighty".