2289887664 has 80 divisors (see below), whose sum is σ = 6180271104. Its totient is φ = 729734400.

The previous prime is 2289887651. The next prime is 2289887671. The reversal of 2289887664 is 4667889822.

It is a junction number, because it is equal to n+sod(n) for n = 2289887598 and 2289887607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114234 + ... + 132774.

Almost surely, 2^2289887664 is an apocalyptic number.

2289887664 is a gapful number since it is divisible by the number (24) 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 2289887664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090135552).

2289887664 is an abundant number, since it is smaller than the sum of its proper divisors (3890383440).

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

2289887664 is a wasteful number, since it uses less digits than its factorization.

2289887664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18666 (or 18660 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 2289887664 is about 47852.7707034817. The cubic root of 2289887664 is about 1318.0687368543.

The spelling of 2289887664 in words is "two billion, two hundred eighty-nine million, eight hundred eighty-seven thousand, six hundred sixty-four".