2283889070736 has 480 divisors, whose sum is σ = 8019316730880. Its totient is φ = 590766898176.

The previous prime is 2283889070731. The next prime is 2283889070737. The reversal of 2283889070736 is 6370709883822.

It is a super-2 number, since 2×2283889070736² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2283889070731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151173295 + ... + 151188401.

It is an arithmetic number, because the mean of its divisors is an integer number (16706909856).

Almost surely, 2^{2283889070736} is an apocalyptic number.

2283889070736 is a gapful number since it is divisible by the number (26) 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 2283889070736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009658365440).

2283889070736 is an abundant number, since it is smaller than the sum of its proper divisors (5735427660144).

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

2283889070736 is a wasteful number, since it uses less digits than its factorization.

2283889070736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363 (or 15354 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 2283889070736 in words is "two trillion, two hundred eighty-three billion, eight hundred eighty-nine million, seventy thousand, seven hundred thirty-six".