2100764970 has 240 divisors, whose sum is σ = 6228966744. Its totient is φ = 505958400.

The previous prime is 2100764903. The next prime is 2100764983. The reversal of 2100764970 is 794670012.

It is a happy number.

2100764970 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 7 + 649 + 7 + 0 = 666.

2100764970 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 344065401 + 1756699569 = 18549^2 + 41913^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34438740 + ... + 34438800.

Almost surely, 2^2100764970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100764970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114483372).

2100764970 is an abundant number, since it is smaller than the sum of its proper divisors (4128201774).

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

2100764970 is a wasteful number, since it uses less digits than its factorization.

2100764970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2100764970 is about 45834.1026965730. The cubic root of 2100764970 is about 1280.7346389114.

The spelling of 2100764970 in words is "two billion, one hundred million, seven hundred sixty-four thousand, nine hundred seventy".