2274585948000 has 1152 divisors, whose sum is σ = 8669881059840. Its totient is φ = 585339955200.

The previous prime is 2274585947981. The next prime is 2274585948001. The reversal of 2274585948000 is 8495854722.

2274585948000 is a `hidden beast` number, since 2 + 2 + 7 + 45 + 8 + 594 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274585948001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3451571671 + ... + 3451572329.

It is an arithmetic number, because the mean of its divisors is an integer number (7525938420).

Almost surely, 2^{2274585948000} is an apocalyptic number.

2274585948000 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 2274585948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334940529920).

2274585948000 is an abundant number, since it is smaller than the sum of its proper divisors (6395295111840).

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

2274585948000 is an equidigital number, since it uses as much as digits as its factorization.

2274585948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 2274585948000 in words is "two trillion, two hundred seventy-four billion, five hundred eighty-five million, nine hundred forty-eight thousand".