2220406406664 has 64 divisors (see below), whose sum is σ = 5574005720640. Its totient is φ = 737071104000.

The previous prime is 2220406406633. The next prime is 2220406406671. The reversal of 2220406406664 is 4666046040222.

It is a super-2 number, since 2×2220406406664² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43931872 + ... + 43982384.

It is an arithmetic number, because the mean of its divisors is an integer number (87093839385).

Almost surely, 2^{2220406406664} is an apocalyptic number.

2220406406664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2220406406664 is an abundant number, since it is smaller than the sum of its proper divisors (3353599313976).

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

2220406406664 is a wasteful number, since it uses less digits than its factorization.

2220406406664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58070 (or 58066 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 2220406406664 in words is "two trillion, two hundred twenty billion, four hundred six million, four hundred six thousand, six hundred sixty-four".