2263023360 has 720 divisors, whose sum is σ = 9224195904. Its totient is φ = 525533184.

The previous prime is 2263023353. The next prime is 2263023361. The reversal of 2263023360 is 633203622.

2263023360 is a `hidden beast` number, since 2 + 2 + 630 + 23 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263023361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31000284 + ... + 31000356.

Almost surely, 2^2263023360 is an apocalyptic number.

2263023360 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 2263023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612097952).

2263023360 is an abundant number, since it is smaller than the sum of its proper divisors (6961172544).

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

2263023360 is a wasteful number, since it uses less digits than its factorization.

2263023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 2263023360 is about 47571.2450961713. The cubic root of 2263023360 is about 1312.8940465831.

Adding to 2263023360 its reverse (633203622), we get a palindrome (2896226982).

The spelling of 2263023360 in words is "two billion, two hundred sixty-three million, twenty-three thousand, three hundred sixty".