2263000040 has 128 divisors (see below), whose sum is σ = 5992704000. Its totient is φ = 753096960.

The previous prime is 2263000027. The next prime is 2263000049. The reversal of 2263000040 is 400003622.

It is a Cunningham number, because it is equal to 47571²-1.

It is a junction number, because it is equal to n+sod(n) for n = 2262999982 and 2263000018.

It is not an unprimeable number, because it can be changed into a prime (2263000049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331111 + ... + 1332809.

It is an arithmetic number, because the mean of its divisors is an integer number (46818000).

Almost surely, 2^2263000040 is an apocalyptic number.

2263000040 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 2263000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996352000).

2263000040 is an abundant number, since it is smaller than the sum of its proper divisors (3729703960).

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

2263000040 is a wasteful number, since it uses less digits than its factorization.

2263000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2263000040 is about 47570.9999894894. Note that the first 4 decimals coincide. The cubic root of 2263000040 is about 1312.8895368647.

Adding to 2263000040 its reverse (400003622), we get a palindrome (2663003662).

The spelling of 2263000040 in words is "two billion, two hundred sixty-three million, forty", and thus it is an aban number.