2121391296 has 280 divisors, whose sum is σ = 6616415520. Its totient is φ = 671182848.

The previous prime is 2121391289. The next prime is 2121391301. The reversal of 2121391296 is 6921931212.

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.

It is a self number, because there is not a number n which added to its sum of digits gives 2121391296.

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 39 ways as a sum of consecutive naturals, for example, 15484540 + ... + 15484676.

Almost surely, 2^2121391296 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 2121391296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308207760).

2121391296 is an abundant number, since it is smaller than the sum of its proper divisors (4495024224).

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

2121391296 is a wasteful number, since it uses less digits than its factorization.

2121391296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 2121391296 is about 46058.5637639734. The cubic root of 2121391296 is about 1284.9126187257.

The spelling of 2121391296 in words is "two billion, one hundred twenty-one million, three hundred ninety-one thousand, two hundred ninety-six".