2093395764096 has 1536 divisors, whose sum is σ = 8027873280000. Its totient is φ = 525204725760.

The previous prime is 2093395764077. The next prime is 2093395764101. The reversal of 2093395764096 is 6904675933902.

2093395764096 is a `hidden beast` number, since 2 + 0 + 93 + 395 + 76 + 4 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10519576605 + ... + 10519576803.

It is an arithmetic number, because the mean of its divisors is an integer number (5226480000).

Almost surely, 2^{2093395764096} is an apocalyptic number.

2093395764096 is a gapful number since it is divisible by the number (26) 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 2093395764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013936640000).

2093395764096 is an abundant number, since it is smaller than the sum of its proper divisors (5934477515904).

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

2093395764096 is a wasteful number, since it uses less digits than its factorization.

2093395764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 2093395764096 in words is "two trillion, ninety-three billion, three hundred ninety-five million, seven hundred sixty-four thousand, ninety-six".