2000292800 has 168 divisors, whose sum is σ = 5434004880. Its totient is φ = 718643200.

The previous prime is 2000292793. The next prime is 2000292803. The reversal of 2000292800 is 82920002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000292803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1565762 + ... + 1567038.

Almost surely, 2^2000292800 is an apocalyptic number.

2000292800 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 2000292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717002440).

2000292800 is an abundant number, since it is smaller than the sum of its proper divisors (3433712080).

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

2000292800 is a wasteful number, since it uses less digits than its factorization.

2000292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2000292800 is about 44724.6330337097. The cubic root of 2000292800 is about 1259.9825310419.

The spelling of 2000292800 in words is "two billion, two hundred ninety-two thousand, eight hundred".