2082101200 has 30 divisors (see below), whose sum is σ = 5002249094. Its totient is φ = 832840320.

The previous prime is 2082101183. The next prime is 2082101221. The reversal of 2082101200 is 21012802.

It can be written as a sum of positive squares in 3 ways, for example, as 30735936 + 2051365264 = 5544^2 + 45292^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2602227 + ... + 2603026.

Almost surely, 2^2082101200 is an apocalyptic number.

2082101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082101200 is an abundant number, since it is smaller than the sum of its proper divisors (2920147894).

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

2082101200 is a wasteful number, since it uses less digits than its factorization.

2082101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205271 (or 5205260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2082101200 is about 45630.0471180997. The cubic root of 2082101200 is about 1276.9305522302.

The spelling of 2082101200 in words is "two billion, eighty-two million, one hundred one thousand, two hundred".