2263041600 has 84 divisors (see below), whose sum is σ = 7424678064. Its totient is φ = 603476480.

The previous prime is 2263041589. The next prime is 2263041601. The reversal of 2263041600 is 61403622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2263041601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230934 + ... + 240533.

Almost surely, 2^2263041600 is an apocalyptic number.

2263041600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263041600 is an abundant number, since it is smaller than the sum of its proper divisors (5161636464).

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

2263041600 is a wasteful number, since it uses less digits than its factorization.

2263041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471492 (or 471477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2263041600 is about 47571.4368082361. The cubic root of 2263041600 is about 1312.8975738884.

The spelling of 2263041600 in words is "two billion, two hundred sixty-three million, forty-one thousand, six hundred".