2228763264 has 128 divisors (see below), whose sum is σ = 7286455680. Its totient is φ = 587796480.

The previous prime is 2228763253. The next prime is 2228763269. The reversal of 2228763264 is 4623678222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2228763269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3054 + ... + 66834.

It is an arithmetic number, because the mean of its divisors is an integer number (56925435).

Almost surely, 2^2228763264 is an apocalyptic number.

2228763264 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 2228763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643227840).

2228763264 is an abundant number, since it is smaller than the sum of its proper divisors (5057692416).

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

2228763264 is a wasteful number, since it uses less digits than its factorization.

2228763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63818 (or 63806 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 2228763264 is about 47209.7793258981. The cubic root of 2228763264 is about 1306.2349918409.

The spelling of 2228763264 in words is "two billion, two hundred twenty-eight million, seven hundred sixty-three thousand, two hundred sixty-four".