2263055004 has 96 divisors (see below), whose sum is σ = 6842304000. Its totient is φ = 646576560.

The previous prime is 2263054979. The next prime is 2263055017. The reversal of 2263055004 is 4005503622.

2263055004 is a `hidden beast` number, since 22 + 630 + 5 + 5 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×2263055004² = 10242835902258880032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6499 + ... + 67589.

It is an arithmetic number, because the mean of its divisors is an integer number (71274000).

Almost surely, 2^2263055004 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 2263055004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421152000).

2263055004 is an abundant number, since it is smaller than the sum of its proper divisors (4579248996).

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

2263055004 is a wasteful number, since it uses less digits than its factorization.

2263055004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61125 (or 61103 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2263055004 is about 47571.5776908860. The cubic root of 2263055004 is about 1312.9001659816.

Adding to 2263055004 its reverse (4005503622), we get a palindrome (6268558626).

The spelling of 2263055004 in words is "two billion, two hundred sixty-three million, fifty-five thousand, four".