2282019327744 has 576 divisors, whose sum is σ = 6803710857216. Its totient is φ = 674651308032.

The previous prime is 2282019327703. The next prime is 2282019327761. The reversal of 2282019327744 is 4477239102822.

It is a happy number.

It is a super-2 number, since 2×2282019327744² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9794074252 + ... + 9794074484.

It is an arithmetic number, because the mean of its divisors is an integer number (11811998016).

Almost surely, 2^{2282019327744} is an apocalyptic number.

2282019327744 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 2282019327744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401855428608).

2282019327744 is an abundant number, since it is smaller than the sum of its proper divisors (4521691529472).

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

2282019327744 is a wasteful number, since it uses less digits than its factorization.

2282019327744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 2282019327744 in words is "two trillion, two hundred eighty-two billion, nineteen million, three hundred twenty-seven thousand, seven hundred forty-four".