2101911552 has 448 divisors, whose sum is σ = 7266188160. Its totient is φ = 594542592.

The previous prime is 2101911533. The next prime is 2101911571. The reversal of 2101911552 is 2551191012.

2101911552 is a `hidden beast` number, since 2 + 101 + 9 + 1 + 1 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (2101911533) and next prime (2101911571).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48881643 + ... + 48881685.

It is an arithmetic number, because the mean of its divisors is an integer number (16219170).

Almost surely, 2^2101911552 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 2101911552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633094080).

2101911552 is an abundant number, since it is smaller than the sum of its proper divisors (5164276608).

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

2101911552 is a wasteful number, since it uses less digits than its factorization.

2101911552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The square root of 2101911552 is about 45846.6089476637. The cubic root of 2101911552 is about 1280.9676017013.

The spelling of 2101911552 in words is "two billion, one hundred one million, nine hundred eleven thousand, five hundred fifty-two".