1980338976 has 576 divisors, whose sum is σ = 7724021760. Its totient is φ = 479416320.

The previous prime is 1980338951. The next prime is 1980338999. The reversal of 1980338976 is 6798330891.

1980338976 is a `hidden beast` number, since 198 + 0 + 3 + 389 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19226541 + ... + 19226643.

It is an arithmetic number, because the mean of its divisors is an integer number (13409760).

Almost surely, 2^1980338976 is an apocalyptic number.

1980338976 is a gapful number since it is divisible by the number (16) 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 1980338976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862010880).

1980338976 is an abundant number, since it is smaller than the sum of its proper divisors (5743682784).

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

1980338976 is a wasteful number, since it uses less digits than its factorization.

1980338976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 1980338976 is about 44500.9997191074. Note that the first 3 decimals coincide. The cubic root of 1980338976 is about 1255.7788905812.

The spelling of 1980338976 in words is "one billion, nine hundred eighty million, three hundred thirty-eight thousand, nine hundred seventy-six".