2293242048000 has 1920 divisors, whose sum is σ = 9177561169920. Its totient is φ = 548403609600.

The previous prime is 2293242047947. The next prime is 2293242048089. The reversal of 2293242048000 is 8402423922.

2293242048000 is a `hidden beast` number, since 229 + 3 + 2 + 420 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 18057023937 + ... + 18057024063.

It is an arithmetic number, because the mean of its divisors is an integer number (4779979776).

Almost surely, 2^{2293242048000} is an apocalyptic number.

2293242048000 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 2293242048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588780584960).

2293242048000 is an abundant number, since it is smaller than the sum of its proper divisors (6884319121920).

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

2293242048000 is a wasteful number, since it uses less digits than its factorization.

2293242048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2293242048000 in words is "two trillion, two hundred ninety-three billion, two hundred forty-two million, forty-eight thousand".