1980493200 has 960 divisors, whose sum is σ = 9033707520. Its totient is φ = 401448960.

The previous prime is 1980493169. The next prime is 1980493211. The reversal of 1980493200 is 23940891.

1980493200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29559567 + ... + 29559633.

It is an arithmetic number, because the mean of its divisors is an integer number (9410112).

Almost surely, 2^1980493200 is an apocalyptic number.

1980493200 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 1980493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516853760).

1980493200 is an abundant number, since it is smaller than the sum of its proper divisors (7053214320).

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

1980493200 is a wasteful number, since it uses less digits than its factorization.

1980493200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1980493200 is about 44502.7325003757. The cubic root of 1980493200 is about 1255.8114887405.

The spelling of 1980493200 in words is "one billion, nine hundred eighty million, four hundred ninety-three thousand, two hundred".