2263505500 has 72 divisors (see below), whose sum is σ = 5045498640. Its totient is φ = 886843200.

The previous prime is 2263505479. The next prime is 2263505507. The reversal of 2263505500 is 55053622.

2263505500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263505507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8171362 + ... + 8171638.

It is an arithmetic number, because the mean of its divisors is an integer number (70076370).

Almost surely, 2^2263505500 is an apocalyptic number.

2263505500 is a gapful number since it is divisible by the number (20) 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 2263505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522749320).

2263505500 is an abundant number, since it is smaller than the sum of its proper divisors (2781993140).

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

2263505500 is an equidigital number, since it uses as much as digits as its factorization.

2263505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 2263505500 is about 47576.3123833699. The cubic root of 2263505500 is about 1312.9872778769.

The spelling of 2263505500 in words is "two billion, two hundred sixty-three million, five hundred five thousand, five hundred".