2100772000 has 48 divisors (see below), whose sum is σ = 5161606632. Its totient is φ = 840307200.

The previous prime is 2100771983. The next prime is 2100772021. The reversal of 2100772000 is 2770012.

It can be written as a sum of positive squares in 4 ways, for example, as 806787216 + 1293984784 = 28404^2 + 35972^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258597 + ... + 266596.

Almost surely, 2^2100772000 is an apocalyptic number.

2100772000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100772000 is an abundant number, since it is smaller than the sum of its proper divisors (3060834632).

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

2100772000 is an equidigital number, since it uses as much as digits as its factorization.

2100772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525218 (or 525200 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 2100772000 is about 45834.1793861306. The cubic root of 2100772000 is about 1280.7360675266.

The spelling of 2100772000 in words is "two billion, one hundred million, seven hundred seventy-two thousand".