2101792000 has 288 divisors, whose sum is σ = 6535436544. Its totient is φ = 654336000.

The previous prime is 2101791997. The next prime is 2101792037. The reversal of 2101792000 is 2971012.

It is a super-2 number, since 2×2101792000² = 8835059222528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2463574 + ... + 2464426.

It is an arithmetic number, because the mean of its divisors is an integer number (22692488).

Almost surely, 2^2101792000 is an apocalyptic number.

2101792000 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 2101792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267718272).

2101792000 is an abundant number, since it is smaller than the sum of its proper divisors (4433644544).

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

2101792000 is an equidigital number, since it uses as much as digits as its factorization.

2101792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 2101792000 is about 45845.3051031401. The cubic root of 2101792000 is about 1280.9433150558.

The spelling of 2101792000 in words is "two billion, one hundred one million, seven hundred ninety-two thousand".