2263432600 has 192 divisors, whose sum is σ = 6398028000. Its totient is φ = 733286400.

The previous prime is 2263432597. The next prime is 2263432607. The reversal of 2263432600 is 62343622.

2263432600 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 (2263432607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828036 + ... + 830764.

Almost surely, 2^2263432600 is an apocalyptic number.

2263432600 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 2263432600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199014000).

2263432600 is an abundant number, since it is smaller than the sum of its proper divisors (4134595400).

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

2263432600 is a wasteful number, since it uses less digits than its factorization.

2263432600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 2263432600 is about 47575.5462396387. The cubic root of 2263432600 is about 1312.9731820713.

The spelling of 2263432600 in words is "two billion, two hundred sixty-three million, four hundred thirty-two thousand, six hundred".