2226377664 has 392 divisors, whose sum is σ = 8035491168. Its totient is φ = 597196800.

The previous prime is 2226377663. The next prime is 2226377711. The reversal of 2226377664 is 4667736222.

2226377664 is a `hidden beast` number, since 2 + 2 + 2 + 637 + 7 + 6 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226377663) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5551864 + ... + 5552264.

Almost surely, 2^2226377664 is an apocalyptic number.

2226377664 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 2226377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017745584).

2226377664 is an abundant number, since it is smaller than the sum of its proper divisors (5809113504).

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

2226377664 is an equidigital number, since it uses as much as digits as its factorization.

2226377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 430 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 2226377664 is about 47184.5066096913. The cubic root of 2226377664 is about 1305.7687741376.

The spelling of 2226377664 in words is "two billion, two hundred twenty-six million, three hundred seventy-seven thousand, six hundred sixty-four".