2982712320 has 396 divisors, whose sum is σ = 12031471764. Its totient is φ = 681246720.

The previous prime is 2982712309. The next prime is 2982712357. The reversal of 2982712320 is 232172892.

It can be written as a sum of positive squares in 2 ways, for example, as 2027160576 + 955551744 = 45024^2 + 30912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2257260 + ... + 2258580.

Almost surely, 2^2982712320 is an apocalyptic number.

2982712320 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 2982712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015735882).

2982712320 is an abundant number, since it is smaller than the sum of its proper divisors (9048759444).

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

2982712320 is a wasteful number, since it uses less digits than its factorization.

2982712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2982712320 is about 54614.2135345736. The cubic root of 2982712320 is about 1439.4738818751.

The spelling of 2982712320 in words is "two billion, nine hundred eighty-two million, seven hundred twelve thousand, three hundred twenty".