2094315264000 has 480 divisors, whose sum is σ = 7807019220000. Its totient is φ = 558478540800.

The previous prime is 2094315263941. The next prime is 2094315264001. The reversal of 2094315264000 is 4625134902.

It is a happy number.

2094315264000 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 3 + 1 + 5 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2094315264001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20685501 + ... + 20786499.

It is an arithmetic number, because the mean of its divisors is an integer number (16264623375).

Almost surely, 2^{2094315264000} is an apocalyptic number.

2094315264000 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 2094315264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903509610000).

2094315264000 is an abundant number, since it is smaller than the sum of its proper divisors (5712703956000).

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

2094315264000 is an equidigital number, since it uses as much as digits as its factorization.

2094315264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101048 (or 101009 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2094315264000 in words is "two trillion, ninety-four billion, three hundred fifteen million, two hundred sixty-four thousand".