2101289344 has 256 divisors, whose sum is σ = 5630400000. Its totient is φ = 772208640.

The previous prime is 2101289339. The next prime is 2101289371. The reversal of 2101289344 is 4439821012.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 9175822 + ... + 9176050.

It is an arithmetic number, because the mean of its divisors is an integer number (21993750).

Almost surely, 2^2101289344 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 2101289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815200000).

2101289344 is an abundant number, since it is smaller than the sum of its proper divisors (3529110656).

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

2101289344 is a wasteful number, since it uses less digits than its factorization.

2101289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2101289344 is about 45839.8226872661. The cubic root of 2101289344 is about 1280.8411918551.

The spelling of 2101289344 in words is "two billion, one hundred one million, two hundred eighty-nine thousand, three hundred forty-four".