2289162240000 has 900 divisors, whose sum is σ = 8423542447320. Its totient is φ = 598671360000.

The previous prime is 2289162239993. The next prime is 2289162240011. The reversal of 2289162240000 is 422619822.

2289162240000 is a `hidden beast` number, since 2 + 28 + 9 + 1 + 622 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×2289162240000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5437439790 + ... + 5437440210.

Almost surely, 2^{2289162240000} is an apocalyptic number.

2289162240000 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 2289162240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211771223660).

2289162240000 is an abundant number, since it is smaller than the sum of its proper divisors (6134380207320).

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

2289162240000 is an frugal number, since it uses more digits than its factorization.

2289162240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 2289162240000 its reverse (422619822), we get a palindrome (2289584859822).

The spelling of 2289162240000 in words is "two trillion, two hundred eighty-nine billion, one hundred sixty-two million, two hundred forty thousand".