2000929200900 has 288 divisors, whose sum is σ = 7036227152640. Its totient is φ = 428570542080.

The previous prime is 2000929200899. The next prime is 2000929200901. The reversal of 2000929200900 is 90029290002.

It is an interprime number because it is at equal distance from previous prime (2000929200899) and next prime (2000929200901).

It is not an unprimeable number, because it can be changed into a prime (2000929200901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8052924 + ... + 8297676.

It is an arithmetic number, because the mean of its divisors is an integer number (24431344280).

Almost surely, 2^{2000929200900} is an apocalyptic number.

2000929200900 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 2000929200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518113576320).

2000929200900 is an abundant number, since it is smaller than the sum of its proper divisors (5035297951740).

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

2000929200900 is a wasteful number, since it uses less digits than its factorization.

2000929200900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245023 (or 245016 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 2000929200900 in words is "two trillion, nine hundred twenty-nine million, two hundred thousand, nine hundred".