2274390835200 has 2160 divisors, whose sum is σ = 9911647801440. Its totient is φ = 509607936000.

The previous prime is 2274390835169. The next prime is 2274390835229. The reversal of 2274390835200 is 25380934722.

2274390835200 is a `hidden beast` number, since 2 + 2 + 7 + 43 + 9 + 0 + 83 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55472947180 + ... + 55472947220.

It is an arithmetic number, because the mean of its divisors is an integer number (4588725834).

Almost surely, 2^{2274390835200} is an apocalyptic number.

2274390835200 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 2274390835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955823900720).

2274390835200 is an abundant number, since it is smaller than the sum of its proper divisors (7637256966240).

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

2274390835200 is an equidigital number, since it uses as much as digits as its factorization.

2274390835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2274390835200 in words is "two trillion, two hundred seventy-four billion, three hundred ninety million, eight hundred thirty-five thousand, two hundred".