2264000004 has 96 divisors (see below), whose sum is σ = 6802790400. Its totient is φ = 637731360.

The previous prime is 2264000003. The next prime is 2264000017. The reversal of 2264000004 is 4000004622.

2264000004 is a `hidden beast` number, since 22 + 640 + 0 + 0 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×2264000004² = 10251392036224000032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2264000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32587 + ... + 74765.

It is an arithmetic number, because the mean of its divisors is an integer number (70862400).

Almost surely, 2^2264000004 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 2264000004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401395200).

2264000004 is an abundant number, since it is smaller than the sum of its proper divisors (4538790396).

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

2264000004 is a wasteful number, since it uses less digits than its factorization.

2264000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42270 (or 42262 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2264000004 is about 47581.5090555144. The cubic root of 2264000004 is about 1313.0828862425.

Adding to 2264000004 its reverse (4000004622), we get a palindrome (6264004626).

The spelling of 2264000004 in words is "two billion, two hundred sixty-four million, four", and thus it is an aban number.