1889374464 has 288 divisors, whose sum is σ = 5872003200. Its totient is φ = 598671360.

The previous prime is 1889374451. The next prime is 1889374471. The reversal of 1889374464 is 4644739881.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1889374464.

It is a congruent number.

It is an unprimeable number.

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, 16720072 + ... + 16720184.

It is an arithmetic number, because the mean of its divisors is an integer number (20388900).

Almost surely, 2^1889374464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1889374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936001600).

1889374464 is an abundant number, since it is smaller than the sum of its proper divisors (3982628736).

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

1889374464 is a wasteful number, since it uses less digits than its factorization.

1889374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 218 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1889374464 is about 43466.9352956934. The cubic root of 1889374464 is about 1236.2491721230.

The spelling of 1889374464 in words is "one billion, eight hundred eighty-nine million, three hundred seventy-four thousand, four hundred sixty-four".