2242753920000 has 3080 divisors, whose sum is σ = 10064947685760. Its totient is φ = 492687360000.

The previous prime is 2242753919929. The next prime is 2242753920079. The reversal of 2242753920000 is 293572422.

2242753920000 is a `hidden beast` number, since 22 + 427 + 5 + 3 + 9 + 200 + 0 + 0 = 666.

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 polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 97511039989 + ... + 97511040011.

Almost surely, 2^{2242753920000} is an apocalyptic number.

2242753920000 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 2242753920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032473842880).

2242753920000 is an abundant number, since it is smaller than the sum of its proper divisors (7822193765760).

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

2242753920000 is an equidigital number, since it uses as much as digits as its factorization.

2242753920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2242753920000 in words is "two trillion, two hundred forty-two billion, seven hundred fifty-three million, nine hundred twenty thousand".