2100202368 has 256 divisors, whose sum is σ = 6362254080. Its totient is φ = 608256000.

The previous prime is 2100202361. The next prime is 2100202463. The reversal of 2100202368 is 8632020012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100202361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11603238 + ... + 11603418.

It is an arithmetic number, because the mean of its divisors is an integer number (24852555).

Almost surely, 2^2100202368 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 2100202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181127040).

2100202368 is an abundant number, since it is smaller than the sum of its proper divisors (4262051712).

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

2100202368 is a wasteful number, since it uses less digits than its factorization.

2100202368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2100202368 is about 45827.9649122673. The cubic root of 2100202368 is about 1280.6202983082.

The spelling of 2100202368 in words is "two billion, one hundred million, two hundred two thousand, three hundred sixty-eight".