2267201664 has 512 divisors, whose sum is σ = 8430912000. Its totient is φ = 591224832.

The previous prime is 2267201663. The next prime is 2267201681. The reversal of 2267201664 is 4661027622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2267201663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25474132 + ... + 25474220.

It is an arithmetic number, because the mean of its divisors is an integer number (16466625).

Almost surely, 2^2267201664 is an apocalyptic number.

2267201664 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 2267201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215456000).

2267201664 is an abundant number, since it is smaller than the sum of its proper divisors (6163710336).

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

2267201664 is an frugal number, since it uses more digits than its factorization.

2267201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2267201664 is about 47615.1411212862. The cubic root of 2267201664 is about 1313.7015648011.

The spelling of 2267201664 in words is "two billion, two hundred sixty-seven million, two hundred one thousand, six hundred sixty-four".