2093323246416 has 640 divisors, whose sum is σ = 6640946380800. Its totient is φ = 629264401920.

The previous prime is 2093323246397. The next prime is 2093323246423. The reversal of 2093323246416 is 6146423233902.

2093323246416 is a `hidden beast` number, since 209 + 3 + 3 + 2 + 3 + 24 + 6 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2307963435 + ... + 2307964341.

It is an arithmetic number, because the mean of its divisors is an integer number (10376478720).

Almost surely, 2^{2093323246416} 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 2093323246416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320473190400).

2093323246416 is an abundant number, since it is smaller than the sum of its proper divisors (4547623134384).

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

2093323246416 is a wasteful number, since it uses less digits than its factorization.

2093323246416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 2093323246416 in words is "two trillion, ninety-three billion, three hundred twenty-three million, two hundred forty-six thousand, four hundred sixteen".