1992139200 has 252 divisors, whose sum is σ = 7273843720. Its totient is φ = 516741120.

The previous prime is 1992139199. The next prime is 1992139211. The reversal of 1992139200 is 29312991.

It is a happy number.

1992139200 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 35 ways as a sum of consecutive naturals, for example, 530931 + ... + 534669.

Almost surely, 2^1992139200 is an apocalyptic number.

1992139200 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 1992139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636921860).

1992139200 is an abundant number, since it is smaller than the sum of its proper divisors (5281704520).

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

1992139200 is a wasteful number, since it uses less digits than its factorization.

1992139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1992139200 is about 44633.3866068888. The cubic root of 1992139200 is about 1258.2682180048.

The spelling of 1992139200 in words is "one billion, nine hundred ninety-two million, one hundred thirty-nine thousand, two hundred".