2513784384 has 84 divisors (see below), whose sum is σ = 7272826704. Its totient is φ = 830076672.

The previous prime is 2513784349. The next prime is 2513784401. The reversal of 2513784384 is 4834873152.

It is a super-2 number, since 2×2513784384² = 12638223858484518912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41239 + ... + 82025.

Almost surely, 2^2513784384 is an apocalyptic number.

2513784384 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 2513784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636413352).

2513784384 is an abundant number, since it is smaller than the sum of its proper divisors (4759042320).

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

2513784384 is a wasteful number, since it uses less digits than its factorization.

2513784384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40912 (or 40899 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2513784384 is about 50137.6543527916. The cubic root of 2513784384 is about 1359.6986760343.

The spelling of 2513784384 in words is "two billion, five hundred thirteen million, seven hundred eighty-four thousand, three hundred eighty-four".