2242754002944 has 1200 divisors, whose sum is σ = 8437109296000. Its totient is φ = 589934886912.

The previous prime is 2242754002943. The next prime is 2242754002987. The reversal of 2242754002944 is 4492004572422.

2242754002944 is a `hidden beast` number, since 2 + 2 + 42 + 7 + 540 + 0 + 29 + 44 = 666.

It is a super-3 number, since 3×2242754002944³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2242754002944.

It is not an unprimeable number, because it can be changed into a prime (2242754002943) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5917556547 + ... + 5917556925.

Almost surely, 2^{2242754002944} is an apocalyptic number.

2242754002944 is a gapful number since it is divisible by the number (24) 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 2242754002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218554648000).

2242754002944 is an abundant number, since it is smaller than the sum of its proper divisors (6194355293056).

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

2242754002944 is an frugal number, since it uses more digits than its factorization.

2242754002944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2242754002944 in words is "two trillion, two hundred forty-two billion, seven hundred fifty-four million, two thousand, nine hundred forty-four".