2200034464 has 72 divisors (see below), whose sum is σ = 4625361468. Its totient is φ = 1029857280.

The previous prime is 2200034461. The next prime is 2200034489. The reversal of 2200034464 is 4644300022.

It can be written as a sum of positive squares in 6 ways, for example, as 1482866064 + 717168400 = 38508^2 + 26780^2 .

It is not an unprimeable number, because it can be changed into a prime (2200034461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2154274 + ... + 2155294.

Almost surely, 2^2200034464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200034464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312680734).

2200034464 is an abundant number, since it is smaller than the sum of its proper divisors (2425327004).

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

2200034464 is a wasteful number, since it uses less digits than its factorization.

2200034464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2200034464 is about 46904.5249842699. The cubic root of 2200034464 is about 1300.5982382680.

Adding to 2200034464 its reverse (4644300022), we get a palindrome (6844334486).

The spelling of 2200034464 in words is "two billion, two hundred million, thirty-four thousand, four hundred sixty-four".