19889022240 has 288 divisors, whose sum is σ = 68992560000. Its totient is φ = 5216808960.

The previous prime is 19889022239. The next prime is 19889022247. The reversal of 19889022240 is 4222098891.

It is a happy number.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (19889022247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39857511 + ... + 39858009.

It is an arithmetic number, because the mean of its divisors is an integer number (239557500).

Almost surely, 2^19889022240 is an apocalyptic number.

19889022240 is a gapful number since it is divisible by the number (10) 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 19889022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34496280000).

19889022240 is an abundant number, since it is smaller than the sum of its proper divisors (49103537760).

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

19889022240 is a wasteful number, since it uses less digits than its factorization.

19889022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 19889022240 in words is "nineteen billion, eight hundred eighty-nine million, twenty-two thousand, two hundred forty".