2263435200 has 504 divisors, whose sum is σ = 8821966608. Its totient is φ = 547061760.

The previous prime is 2263435193. The next prime is 2263435219. The reversal of 2263435200 is 25343622.

2263435200 is a `hidden beast` number, since 2 + 2 + 634 + 3 + 5 + 20 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20030344 + ... + 20030456.

It is an arithmetic number, because the mean of its divisors is an integer number (17503902).

Almost surely, 2^2263435200 is an apocalyptic number.

2263435200 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 2263435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410983304).

2263435200 is an abundant number, since it is smaller than the sum of its proper divisors (6558531408).

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

2263435200 is a wasteful number, since it uses less digits than its factorization.

2263435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2263435200 is about 47575.5735645930. The cubic root of 2263435200 is about 1312.9736848076.

Adding to 2263435200 its reverse (25343622), we get a palindrome (2288778822).

The spelling of 2263435200 in words is "two billion, two hundred sixty-three million, four hundred thirty-five thousand, two hundred".