1982716920 has 128 divisors (see below), whose sum is σ = 6624288000. Its totient is φ = 527506560.

The previous prime is 1982716913. The next prime is 1982716927. The reversal of 1982716920 is 296172891.

It is an interprime number because it is at equal distance from previous prime (1982716913) and next prime (1982716927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982716927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528411 + ... + 532149.

It is an arithmetic number, because the mean of its divisors is an integer number (51752250).

Almost surely, 2^1982716920 is an apocalyptic number.

1982716920 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 1982716920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312144000).

1982716920 is an abundant number, since it is smaller than the sum of its proper divisors (4641571080).

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

1982716920 is a wasteful number, since it uses less digits than its factorization.

1982716920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1982716920 is about 44527.7095750500. The cubic root of 1982716920 is about 1256.2813260177.

The spelling of 1982716920 in words is "one billion, nine hundred eighty-two million, seven hundred sixteen thousand, nine hundred twenty".