2263801884736 has 84 divisors (see below), whose sum is σ = 5227360805100. Its totient is φ = 969884568576.

The previous prime is 2263801884731. The next prime is 2263801884791. The reversal of 2263801884736 is 6374881083622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 303645081600 + 1960156803136 = 551040^2 + 1400056^2 .

It is not an unprimeable number, because it can be changed into a prime (2263801884731) 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, 9633730 + ... + 9865918.

It is an arithmetic number, because the mean of its divisors is an integer number (62230485775).

Almost surely, 2^{2263801884736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263801884736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613680402550).

2263801884736 is an abundant number, since it is smaller than the sum of its proper divisors (2963558920364).

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

2263801884736 is a wasteful number, since it uses less digits than its factorization.

2263801884736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235324 (or 235307 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 2263801884736 in words is "two trillion, two hundred sixty-three billion, eight hundred one million, eight hundred eighty-four thousand, seven hundred thirty-six".