2100663072 has 168 divisors, whose sum is σ = 6566669676. Its totient is φ = 658907136.

The previous prime is 2100663067. The next prime is 2100663077. The reversal of 2100663072 is 2703660012.

It is a happy number.

2100663072 is a `hidden beast` number, since 21 + 0 + 0 + 6 + 630 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2100663067) and next prime (2100663077).

It can be written as a sum of positive squares in 2 ways, for example, as 1894338576 + 206324496 = 43524^2 + 14364^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2100663077) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 393928 + ... + 399224.

Almost surely, 2^2100663072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100663072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283334838).

2100663072 is an abundant number, since it is smaller than the sum of its proper divisors (4466006604).

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

2100663072 is an equidigital number, since it uses as much as digits as its factorization.

2100663072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2100663072 is about 45832.9910872070. The cubic root of 2100663072 is about 1280.7139311517.

The spelling of 2100663072 in words is "two billion, one hundred million, six hundred sixty-three thousand, seventy-two".