2165889440 has 192 divisors, whose sum is σ = 6056249472. Its totient is φ = 721612800.

The previous prime is 2165889433. The next prime is 2165889443. The reversal of 2165889440 is 449885612.

It is not an unprimeable number, because it can be changed into a prime (2165889443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4141019 + ... + 4141541.

It is an arithmetic number, because the mean of its divisors is an integer number (31542966).

Almost surely, 2^2165889440 is an apocalyptic number.

2165889440 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 2165889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028124736).

2165889440 is an abundant number, since it is smaller than the sum of its proper divisors (3890360032).

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

2165889440 is a wasteful number, since it uses less digits than its factorization.

2165889440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The square root of 2165889440 is about 46539.1173100651. The cubic root of 2165889440 is about 1293.8346009851.

The spelling of 2165889440 in words is "two billion, one hundred sixty-five million, eight hundred eighty-nine thousand, four hundred forty".