1982872320 has 576 divisors, whose sum is σ = 7812854784. Its totient is φ = 421724160.

The previous prime is 1982872279. The next prime is 1982872363. The reversal of 1982872320 is 232782891.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12629682 + ... + 12629838.

It is an arithmetic number, because the mean of its divisors is an integer number (13563984).

Almost surely, 2^1982872320 is an apocalyptic number.

1982872320 is a gapful number since it is divisible by the number (10) 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 1982872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906427392).

1982872320 is an abundant number, since it is smaller than the sum of its proper divisors (5829982464).

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

1982872320 is a wasteful number, since it uses less digits than its factorization.

1982872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1982872320 is about 44529.4545216983. The cubic root of 1982872320 is about 1256.3141464733.

The spelling of 1982872320 in words is "one billion, nine hundred eighty-two million, eight hundred seventy-two thousand, three hundred twenty".