2102912000 has 176 divisors, whose sum is σ = 5998332288. Its totient is φ = 720691200.

The previous prime is 2102911997. The next prime is 2102912029. The reversal of 2102912000 is 2192012.

It is a self number, because there is not a number n which added to its sum of digits gives 2102912000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894827 + ... + 897173.

Almost surely, 2^2102912000 is an apocalyptic number.

2102912000 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 2102912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999166144).

2102912000 is an abundant number, since it is smaller than the sum of its proper divisors (3895420288).

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

2102912000 is an equidigital number, since it uses as much as digits as its factorization.

2102912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2102912000 is about 45857.5184675316. The cubic root of 2102912000 is about 1281.1708037505.

The spelling of 2102912000 in words is "two billion, one hundred two million, nine hundred twelve thousand".