2220406400464 has 80 divisors (see below), whose sum is σ = 5087615443200. Its totient is φ = 938199722880.

The previous prime is 2220406400453. The next prime is 2220406400483. The reversal of 2220406400464 is 4640046040222.

It is a congruent number.

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, 2459599 + ... + 3238894.

It is an arithmetic number, because the mean of its divisors is an integer number (63595193040).

Almost surely, 2^{2220406400464} is an apocalyptic number.

It is an amenable number.

2220406400464 is an abundant number, since it is smaller than the sum of its proper divisors (2867209042736).

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

2220406400464 is an equidigital number, since it uses as much as digits as its factorization.

2220406400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698593 (or 5698573 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 2220406400464 in words is "two trillion, two hundred twenty billion, four hundred six million, four hundred thousand, four hundred sixty-four".