2132020800 has 504 divisors, whose sum is σ = 9332138816. Its totient is φ = 449556480.

The previous prime is 2132020789. The next prime is 2132020829. The reversal of 2132020800 is 80202312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1309587 + ... + 1311213.

Almost surely, 2^2132020800 is an apocalyptic number.

2132020800 is a gapful number since it is divisible by the number (20) 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 2132020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666069408).

2132020800 is an abundant number, since it is smaller than the sum of its proper divisors (7200118016).

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

2132020800 is a wasteful number, since it uses less digits than its factorization.

2132020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2132020800 is about 46173.8107589140. The cubic root of 2132020800 is about 1287.0551176037.

The spelling of 2132020800 in words is "two billion, one hundred thirty-two million, twenty thousand, eight hundred".