2121014294784 has 1944 divisors, whose sum is σ = 8663377361184. Its totient is φ = 510006067200.

The previous prime is 2121014294779. The next prime is 2121014294813. The reversal of 2121014294784 is 4874924101212.

2121014294784 is a `hidden beast` number, since 2 + 1 + 2 + 101 + 429 + 47 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 34770726114 + ... + 34770726174.

It is an arithmetic number, because the mean of its divisors is an integer number (4456469836).

Almost surely, 2^{2121014294784} is an apocalyptic number.

2121014294784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121014294784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331688680592).

2121014294784 is an abundant number, since it is smaller than the sum of its proper divisors (6542363066400).

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

2121014294784 is an equidigital number, since it uses as much as digits as its factorization.

2121014294784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

Adding to 2121014294784 its reverse (4874924101212), we get a palindrome (6995938395996).

The spelling of 2121014294784 in words is "two trillion, one hundred twenty-one billion, fourteen million, two hundred ninety-four thousand, seven hundred eighty-four".