2263853749080 has 768 divisors, whose sum is σ = 9086433292800. Its totient is φ = 444954746880.

The previous prime is 2263853749043. The next prime is 2263853749111. The reversal of 2263853749080 is 809473583622.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2263853749080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1171159794 + ... + 1171161726.

It is an arithmetic number, because the mean of its divisors is an integer number (11831293350).

Almost surely, 2^{2263853749080} is an apocalyptic number.

2263853749080 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 2263853749080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543216646400).

2263853749080 is an abundant number, since it is smaller than the sum of its proper divisors (6822579543720).

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

2263853749080 is a wasteful number, since it uses less digits than its factorization.

2263853749080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 2263853749080 in words is "two trillion, two hundred sixty-three billion, eight hundred fifty-three million, seven hundred forty-nine thousand, eighty".