2121146496 has 288 divisors, whose sum is σ = 7244534700. Its totient is φ = 593768448.

The previous prime is 2121146479. The next prime is 2121146509. The reversal of 2121146496 is 6946411212.

2121146496 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 1 + 4 + 649 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2103506496 + 17640000 = 45864^2 + 4200^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 2121146496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2991390 + ... + 2992098.

Almost surely, 2^2121146496 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 2121146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622267350).

2121146496 is an abundant number, since it is smaller than the sum of its proper divisors (5123388204).

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

2121146496 is a wasteful number, since it uses less digits than its factorization.

2121146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 774 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2121146496 is about 46055.9062010509. The cubic root of 2121146496 is about 1284.8631922464.

The spelling of 2121146496 in words is "two billion, one hundred twenty-one million, one hundred forty-six thousand, four hundred ninety-six".