2242280262816 has 72 divisors (see below), whose sum is σ = 6956164916064. Its totient is φ = 679478866560.

The previous prime is 2242280262797. The next prime is 2242280262851. The reversal of 2242280262816 is 6182620822422.

2242280262816 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 2 + 8 + 0 + 2 + 628 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353892076 + ... + 353898411.

It is an arithmetic number, because the mean of its divisors is an integer number (96613401612).

Almost surely, 2^{2242280262816} is an apocalyptic number.

It is an amenable number.

2242280262816 is an abundant number, since it is smaller than the sum of its proper divisors (4713884653248).

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

2242280262816 is a wasteful number, since it uses less digits than its factorization.

2242280262816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707790514 (or 707790503 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2242280262816 in words is "two trillion, two hundred forty-two billion, two hundred eighty million, two hundred sixty-two thousand, eight hundred sixteen".