2189031768 has 384 divisors, whose sum is σ = 7821066240. Its totient is φ = 536544000.

The previous prime is 2189031751. The next prime is 2189031769. The reversal of 2189031768 is 8671309812.

2189031768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189031769) 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, 8077473 + ... + 8077743.

It is an arithmetic number, because the mean of its divisors is an integer number (20367360).

Almost surely, 2^2189031768 is an apocalyptic number.

2189031768 is a gapful number since it is divisible by the number (28) 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 2189031768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910533120).

2189031768 is an abundant number, since it is smaller than the sum of its proper divisors (5632034472).

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

2189031768 is a wasteful number, since it uses less digits than its factorization.

2189031768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2189031768 is about 46787.0897577526. The cubic root of 2189031768 is about 1298.4264527213.

The spelling of 2189031768 in words is "two billion, one hundred eighty-nine million, thirty-one thousand, seven hundred sixty-eight".