2121823420416 has 1280 divisors, whose sum is σ = 8053056000000. Its totient is φ = 549357355008.

The previous prime is 2121823420403. The next prime is 2121823420433. The reversal of 2121823420416 is 6140243281212.

2121823420416 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 8 + 234 + 2 + 0 + 416 = 666.

It is a super-2 number, since 2×2121823420416² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92253192181 + ... + 92253192203.

It is an arithmetic number, because the mean of its divisors is an integer number (6291450000).

Almost surely, 2^{2121823420416} 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 2121823420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026528000000).

2121823420416 is an abundant number, since it is smaller than the sum of its proper divisors (5931232579584).

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

2121823420416 is an frugal number, since it uses more digits than its factorization.

2121823420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2121823420416 in words is "two trillion, one hundred twenty-one billion, eight hundred twenty-three million, four hundred twenty thousand, four hundred sixteen".