19032040260 has 240 divisors, whose sum is σ = 64258230960. Its totient is φ = 4697948160.

The previous prime is 19032040259. The next prime is 19032040303. The reversal of 19032040260 is 6204023091.

It can be written as a sum of positive squares in 8 ways, for example, as 1666598976 + 17365441284 = 40824^2 + 131778^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 1674276 + ... + 1685604.

It is an arithmetic number, because the mean of its divisors is an integer number (267742629).

Almost surely, 2^19032040260 is an apocalyptic number.

19032040260 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 19032040260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32129115480).

19032040260 is an abundant number, since it is smaller than the sum of its proper divisors (45226190700).

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

19032040260 is a wasteful number, since it uses less digits than its factorization.

19032040260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 19032040260 in words is "nineteen billion, thirty-two million, forty thousand, two hundred sixty".