2216907742464 has 432 divisors, whose sum is σ = 6964191600912. Its totient is φ = 675400384512.

The previous prime is 2216907742459. The next prime is 2216907742477. The reversal of 2216907742464 is 4642477096122.

2216907742464 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 90 + 77 + 424 + 64 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 530566560000 + 1686341182464 = 728400^2 + 1298592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2216907742464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975321232 + ... + 975323504.

It is an arithmetic number, because the mean of its divisors is an integer number (16120813891).

Almost surely, 2^{2216907742464} is an apocalyptic number.

2216907742464 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 2216907742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482095800456).

2216907742464 is an abundant number, since it is smaller than the sum of its proper divisors (4747283858448).

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

2216907742464 is a wasteful number, since it uses less digits than its factorization.

2216907742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2216907742464 in words is "two trillion, two hundred sixteen billion, nine hundred seven million, seven hundred forty-two thousand, four hundred sixty-four".