2100533688 has 128 divisors (see below), whose sum is σ = 6378912000. Its totient is φ = 635160960.

The previous prime is 2100533671. The next prime is 2100533711. The reversal of 2100533688 is 8863350012.

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

It is a congruent number.

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, 1964418 + ... + 1965486.

It is an arithmetic number, because the mean of its divisors is an integer number (49835250).

Almost surely, 2^2100533688 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 2100533688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189456000).

2100533688 is an abundant number, since it is smaller than the sum of its proper divisors (4278378312).

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

2100533688 is a wasteful number, since it uses less digits than its factorization.

2100533688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2100533688 is about 45831.5795931146. The cubic root of 2100533688 is about 1280.6876367092.

The spelling of 2100533688 in words is "two billion, one hundred million, five hundred thirty-three thousand, six hundred eighty-eight".