2121261696 has 224 divisors, whose sum is σ = 6421593600. Its totient is φ = 697600512.

The previous prime is 2121261679. The next prime is 2121261721. The reversal of 2121261696 is 6961621212.

2121261696 is a `hidden beast` number, since 21 + 2 + 12 + 616 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2121261696.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 11850535 + ... + 11850713.

Almost surely, 2^2121261696 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 2121261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210796800).

2121261696 is an abundant number, since it is smaller than the sum of its proper divisors (4300331904).

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

2121261696 is an equidigital number, since it uses as much as digits as its factorization.

2121261696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2121261696 is about 46057.1568379986. The cubic root of 2121261696 is about 1284.8864522397.

The spelling of 2121261696 in words is "two billion, one hundred twenty-one million, two hundred sixty-one thousand, six hundred ninety-six".