19234770240 has 224 divisors, whose sum is σ = 70040113920. Its totient is φ = 4381065216.

The previous prime is 19234770227. The next prime is 19234770253. The reversal of 19234770240 is 4207743291.

It is an interprime number because it is at equal distance from previous prime (19234770227) and next prime (19234770253).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1964076 + ... + 1973844.

It is an arithmetic number, because the mean of its divisors is an integer number (312679080).

Almost surely, 2^19234770240 is an apocalyptic number.

19234770240 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 19234770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35020056960).

19234770240 is an abundant number, since it is smaller than the sum of its proper divisors (50805343680).

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

19234770240 is a wasteful number, since it uses less digits than its factorization.

19234770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 19234770240 in words is "nineteen billion, two hundred thirty-four million, seven hundred seventy thousand, two hundred forty".