2101068288 has 320 divisors, whose sum is σ = 6970803840. Its totient is φ = 619315200.

The previous prime is 2101068287. The next prime is 2101068337. The reversal of 2101068288 is 8828601012.

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

It is not an unprimeable number, because it can be changed into a prime (2101068283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6234456 + ... + 6234792.

It is an arithmetic number, because the mean of its divisors is an integer number (21783762).

Almost surely, 2^2101068288 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 2101068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485401920).

2101068288 is an abundant number, since it is smaller than the sum of its proper divisors (4869735552).

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

2101068288 is a wasteful number, since it uses less digits than its factorization.

2101068288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

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

The square root of 2101068288 is about 45837.4114452376. The cubic root of 2101068288 is about 1280.7962753756.

It can be divided in two parts, 21010 and 68288, that added together give a palindrome (89298).

The spelling of 2101068288 in words is "two billion, one hundred one million, sixty-eight thousand, two hundred eighty-eight".