2201465664 has 168 divisors, whose sum is σ = 6606311400. Its totient is φ = 700157952.

The previous prime is 2201465663. The next prime is 2201465687. The reversal of 2201465664 is 4665641022.

It can be written as a sum of positive squares in 4 ways, for example, as 1348358400 + 853107264 = 36720^2 + 29208^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201465663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1128562 + ... + 1130510.

Almost surely, 2^2201465664 is an apocalyptic number.

2201465664 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 2201465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303155700).

2201465664 is an abundant number, since it is smaller than the sum of its proper divisors (4404845736).

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

2201465664 is a wasteful number, since it uses less digits than its factorization.

2201465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2201465664 is about 46919.7790276127. The cubic root of 2201465664 is about 1300.8802054729.

It can be divided in two parts, 22014 and 65664, that added together give a palindrome (87678).

The spelling of 2201465664 in words is "two billion, two hundred one million, four hundred sixty-five thousand, six hundred sixty-four".