2382983680 has 360 divisors, whose sum is σ = 7352084124. Its totient is φ = 738017280.

The previous prime is 2382983657. The next prime is 2382983693. The reversal of 2382983680 is 863892832.

It can be written as a sum of positive squares in 2 ways, for example, as 2308610304 + 74373376 = 48048^2 + 8624^2 .

It is a super-2 number, since 2×2382983680² = 11357222438292684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15178162 + ... + 15178318.

Almost surely, 2^2382983680 is an apocalyptic number.

2382983680 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 2382983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676042062).

2382983680 is an abundant number, since it is smaller than the sum of its proper divisors (4969100444).

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

2382983680 is a wasteful number, since it uses less digits than its factorization.

2382983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The square root of 2382983680 is about 48815.8138311757. The cubic root of 2382983680 is about 1335.6941463432.

The spelling of 2382983680 in words is "two billion, three hundred eighty-two million, nine hundred eighty-three thousand, six hundred eighty".