2263434688 has 112 divisors (see below), whose sum is σ = 4828032000. Its totient is φ = 1050835968.

The previous prime is 2263434683. The next prime is 2263434697. The reversal of 2263434688 is 8864343622.

Its product of digits (1327104) is a multiple of the sum of its prime divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263434683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6304653 + ... + 6305011.

Almost surely, 2^2263434688 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 2263434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414016000).

2263434688 is an abundant number, since it is smaller than the sum of its proper divisors (2564597312).

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

2263434688 is a wasteful number, since it uses less digits than its factorization.

2263434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The square root of 2263434688 is about 47575.5681836802. The cubic root of 2263434688 is about 1312.9735858073.

The spelling of 2263434688 in words is "two billion, two hundred sixty-three million, four hundred thirty-four thousand, six hundred eighty-eight".