2513818980 has 72 divisors (see below), whose sum is σ = 7639245432. Its totient is φ = 669121536.

The previous prime is 2513818949. The next prime is 2513818999. The reversal of 2513818980 is 898183152.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 2511813924 = 1416^2 + 50118^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87724 + ... + 112796.

It is an arithmetic number, because the mean of its divisors is an integer number (106100631).

Almost surely, 2^2513818980 is an apocalyptic number.

2513818980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513818980 is an abundant number, since it is smaller than the sum of its proper divisors (5125426452).

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

2513818980 is a wasteful number, since it uses less digits than its factorization.

2513818980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25645 (or 25640 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 2513818980 is about 50137.9993617615. Note that the first 3 decimals coincide. The cubic root of 2513818980 is about 1359.7049136310.

The spelling of 2513818980 in words is "two billion, five hundred thirteen million, eight hundred eighteen thousand, nine hundred eighty".