2202264864 has 144 divisors (see below), whose sum is σ = 6810862968. Its totient is φ = 672178176.

The previous prime is 2202264859. The next prime is 2202264871. The reversal of 2202264864 is 4684622022.

2202264864 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 648 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2008832400 + 193432464 = 44820^2 + 13908^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175074 + ... + 187230.

Almost surely, 2^2202264864 is an apocalyptic number.

2202264864 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 2202264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405431484).

2202264864 is an abundant number, since it is smaller than the sum of its proper divisors (4608598104).

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

2202264864 is a wasteful number, since it uses less digits than its factorization.

2202264864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12227 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2202264864 is about 46928.2949189505. The cubic root of 2202264864 is about 1301.0376063191.

Adding to 2202264864 its reverse (4684622022), we get a palindrome (6886886886).

The spelling of 2202264864 in words is "two billion, two hundred two million, two hundred sixty-four thousand, eight hundred sixty-four".