2263226040 has 192 divisors, whose sum is σ = 7771140000. Its totient is φ = 569659392.

The previous prime is 2263226011. The next prime is 2263226051. The reversal of 2263226040 is 406223622.

2263226040 is a `hidden beast` number, since 2 + 2 + 632 + 26 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2263225995 and 2263226013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2797156 + ... + 2797964.

Almost surely, 2^2263226040 is an apocalyptic number.

2263226040 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 2263226040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885570000).

2263226040 is an abundant number, since it is smaller than the sum of its proper divisors (5507913960).

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

2263226040 is a wasteful number, since it uses less digits than its factorization.

2263226040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2263226040 is about 47573.3753269620. The cubic root of 2263226040 is about 1312.9332403782.

Adding to 2263226040 its reverse (406223622), we get a palindrome (2669449662).

The spelling of 2263226040 in words is "two billion, two hundred sixty-three million, two hundred twenty-six thousand, forty".