1980201600 has 768 divisors, whose sum is σ = 8180726400. Its totient is φ = 464486400.

The previous prime is 1980201571. The next prime is 1980201617. The reversal of 1980201600 is 61020891.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 46051179 + ... + 46051221.

Almost surely, 2^1980201600 is an apocalyptic number.

1980201600 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 1980201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090363200).

1980201600 is an abundant number, since it is smaller than the sum of its proper divisors (6200524800).

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

1980201600 is a wasteful number, since it uses less digits than its factorization.

1980201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1980201600 is about 44499.4561764523. The cubic root of 1980201600 is about 1255.7498521401.

The spelling of 1980201600 in words is "one billion, nine hundred eighty million, two hundred one thousand, six hundred".