2242273152000 has 1408 divisors, whose sum is σ = 8946609684480. Its totient is φ = 487710720000.

The previous prime is 2242273151953. The next prime is 2242273152001. The reversal of 2242273152000 is 2513722422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2242273152001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5916287811 + ... + 5916288189.

Almost surely, 2^{2242273152000} is an apocalyptic number.

2242273152000 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 2242273152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473304842240).

2242273152000 is an abundant number, since it is smaller than the sum of its proper divisors (6704336532480).

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

2242273152000 is a wasteful number, since it uses less digits than its factorization.

2242273152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 2242273152000 its reverse (2513722422), we get a palindrome (2244786874422).

The spelling of 2242273152000 in words is "two trillion, two hundred forty-two billion, two hundred seventy-three million, one hundred fifty-two thousand".