2092193664 has 256 divisors, whose sum is σ = 6462720000. Its totient is φ = 593049600.

The previous prime is 2092193647. The next prime is 2092193687. The reversal of 2092193664 is 4663912902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10513437 + ... + 10513635.

It is an arithmetic number, because the mean of its divisors is an integer number (25245000).

Almost surely, 2^2092193664 is an apocalyptic number.

2092193664 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 2092193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231360000).

2092193664 is an abundant number, since it is smaller than the sum of its proper divisors (4370526336).

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

2092193664 is a wasteful number, since it uses less digits than its factorization.

2092193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 2092193664 is about 45740.5035389861. The cubic root of 2092193664 is about 1278.9904278897.

The spelling of 2092193664 in words is "two billion, ninety-two million, one hundred ninety-three thousand, six hundred sixty-four".