1980815200 has 432 divisors, whose sum is σ = 6358655520. Its totient is φ = 599639040.

The previous prime is 1980815173. The next prime is 1980815203. The reversal of 1980815200 is 25180891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980815203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86122389 + ... + 86122411.

It is an arithmetic number, because the mean of its divisors is an integer number (14719110).

Almost surely, 2^1980815200 is an apocalyptic number.

1980815200 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 1980815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179327760).

1980815200 is an abundant number, since it is smaller than the sum of its proper divisors (4377840320).

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

1980815200 is a wasteful number, since it uses less digits than its factorization.

1980815200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 1980815200 is about 44506.3501087204. The cubic root of 1980815200 is about 1255.8795440758.

The spelling of 1980815200 in words is "one billion, nine hundred eighty million, eight hundred fifteen thousand, two hundred".