2102372000 has 48 divisors (see below), whose sum is σ = 5165537832. Its totient is φ = 840947200.

The previous prime is 2102371969. The next prime is 2102372003. The reversal of 2102372000 is 2732012.

It can be written as a sum of positive squares in 4 ways, for example, as 505890064 + 1596481936 = 22492^2 + 39956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2102372000.

It is not an unprimeable number, because it can be changed into a prime (2102372003) by changing a digit.

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, 258797 + ... + 266796.

Almost surely, 2^2102372000 is an apocalyptic number.

2102372000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102372000 is an abundant number, since it is smaller than the sum of its proper divisors (3063165832).

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

2102372000 is an equidigital number, since it uses as much as digits as its factorization.

2102372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525618 (or 525600 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2102372000 is about 45851.6302872646. The cubic root of 2102372000 is about 1281.0611317876.

The spelling of 2102372000 in words is "two billion, one hundred two million, three hundred seventy-two thousand".