2093226544320 has 224 divisors, whose sum is σ = 6703643427840. Its totient is φ = 553369190400.

The previous prime is 2093226544313. The next prime is 2093226544351. The reversal of 2093226544320 is 234456223902.

It is a happy number.

It is a super-3 number, since 3×2093226544320³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62731801 + ... + 62765159.

Almost surely, 2^{2093226544320} is an apocalyptic number.

2093226544320 is a gapful number since it is divisible by the number (20) 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 2093226544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351821713920).

2093226544320 is an abundant number, since it is smaller than the sum of its proper divisors (4610416883520).

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

2093226544320 is a wasteful number, since it uses less digits than its factorization.

2093226544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33943 (or 33933 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 2093226544320 in words is "two trillion, ninety-three billion, two hundred twenty-six million, five hundred forty-four thousand, three hundred twenty".