2100217392 has 240 divisors, whose sum is σ = 7325031168. Its totient is φ = 546946560.

The previous prime is 2100217367. The next prime is 2100217409. The reversal of 2100217392 is 2937120012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086667 + ... + 1088597.

Almost surely, 2^2100217392 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 2100217392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662515584).

2100217392 is an abundant number, since it is smaller than the sum of its proper divisors (5224813776).

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

2100217392 is a wasteful number, since it uses less digits than its factorization.

2100217392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2100217392 is about 45828.1288293554. The cubic root of 2100217392 is about 1280.6233519812.

The spelling of 2100217392 in words is "two billion, one hundred million, two hundred seventeen thousand, three hundred ninety-two".