2242553153120 has 192 divisors, whose sum is σ = 6541904476800. Its totient is φ = 723647102976.

The previous prime is 2242553153119. The next prime is 2242553153153. The reversal of 2242553153120 is 213513552422.

It is a super-3 number, since 3×2242553153120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268889 + ... + 2134808.

It is an arithmetic number, because the mean of its divisors is an integer number (34072419150).

Almost surely, 2^{2242553153120} is an apocalyptic number.

2242553153120 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 2242553153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270952238400).

2242553153120 is an abundant number, since it is smaller than the sum of its proper divisors (4299351323680).

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

2242553153120 is a wasteful number, since it uses less digits than its factorization.

2242553153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403750 (or 2403728 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 2242553153120 in words is "two trillion, two hundred forty-two billion, five hundred fifty-three million, one hundred fifty-three thousand, one hundred twenty".