2513869344 has 180 divisors, whose sum is σ = 8600710734. Its totient is φ = 718212096.

The previous prime is 2513869333. The next prime is 2513869357. The reversal of 2513869344 is 4439683152.

2513869344 is a `hidden beast` number, since 2 + 513 + 8 + 6 + 93 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1813737744 + 700131600 = 42588^2 + 26460^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2513869344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 117112 + ... + 136904.

Almost surely, 2^2513869344 is an apocalyptic number.

2513869344 is a gapful number since it is divisible by the number (24) 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 2513869344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300355367).

2513869344 is an abundant number, since it is smaller than the sum of its proper divisors (6086841390).

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

2513869344 is a wasteful number, since it uses less digits than its factorization.

2513869344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19829 (or 19805 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2513869344 is about 50138.5016130319. The cubic root of 2513869344 is about 1359.7139940675.

The spelling of 2513869344 in words is "two billion, five hundred thirteen million, eight hundred sixty-nine thousand, three hundred forty-four".