2181020688 has 320 divisors, whose sum is σ = 7870924800. Its totient is φ = 561738240.

The previous prime is 2181020663. The next prime is 2181020711. The reversal of 2181020688 is 8860201812.

2181020688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5754483 + ... + 5754861.

It is an arithmetic number, because the mean of its divisors is an integer number (24596640).

Almost surely, 2^2181020688 is an apocalyptic number.

2181020688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181020688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935462400).

2181020688 is an abundant number, since it is smaller than the sum of its proper divisors (5689904112).

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

2181020688 is a wasteful number, since it uses less digits than its factorization.

2181020688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 2181020688 is about 46701.3992081608. The cubic root of 2181020688 is about 1296.8405897895.

The spelling of 2181020688 in words is "two billion, one hundred eighty-one million, twenty thousand, six hundred eighty-eight".