2111252688 has 100 divisors (see below), whose sum is σ = 6259773828. Its totient is φ = 686568960.

The previous prime is 2111252681. The next prime is 2111252701. The reversal of 2111252688 is 8862521112.

It can be written as a sum of positive squares in 2 ways, for example, as 1045099584 + 1066153104 = 32328^2 + 32652^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111252681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33270 + ... + 73002.

Almost surely, 2^2111252688 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 2111252688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129886914).

2111252688 is an abundant number, since it is smaller than the sum of its proper divisors (4148521140).

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

2111252688 is a wasteful number, since it uses less digits than its factorization.

2111252688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39794 (or 39779 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 2111252688 is about 45948.3698078615. The cubic root of 2111252688 is about 1282.8623865644.

The spelling of 2111252688 in words is "two billion, one hundred eleven million, two hundred fifty-two thousand, six hundred eighty-eight".