2378893591200 has 864 divisors, whose sum is σ = 9147914496000. Its totient is φ = 535343800320.

The previous prime is 2378893591183. The next prime is 2378893591241. The reversal of 2378893591200 is 21953988732.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2225344266 + ... + 2225345334.

It is an arithmetic number, because the mean of its divisors is an integer number (10587864000).

Almost surely, 2^{2378893591200} is an apocalyptic number.

2378893591200 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 2378893591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573957248000).

2378893591200 is an abundant number, since it is smaller than the sum of its proper divisors (6769020904800).

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

2378893591200 is a wasteful number, since it uses less digits than its factorization.

2378893591200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 2378893591200 in words is "two trillion, three hundred seventy-eight billion, eight hundred ninety-three million, five hundred ninety-one thousand, two hundred".