2214981079968 has 576 divisors, whose sum is σ = 6601126492800. Its totient is φ = 647837515776.

The previous prime is 2214981079967. The next prime is 2214981080063. The reversal of 2214981079968 is 8699701894122.

It is a super-2 number, since 2×2214981079968² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2214981079899 and 2214981079908.

It is not an unprimeable number, because it can be changed into a prime (2214981079967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8618603296 + ... + 8618603552.

It is an arithmetic number, because the mean of its divisors is an integer number (11460289050).

Almost surely, 2^{2214981079968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214981079968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300563246400).

2214981079968 is an abundant number, since it is smaller than the sum of its proper divisors (4386145412832).

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

2214981079968 is a wasteful number, since it uses less digits than its factorization.

2214981079968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 66.

The spelling of 2214981079968 in words is "two trillion, two hundred fourteen billion, nine hundred eighty-one million, seventy-nine thousand, nine hundred sixty-eight".