2019801114240 has 512 divisors, whose sum is σ = 7929169920000. Its totient is φ = 425869000704.

The previous prime is 2019801114239. The next prime is 2019801114341. The reversal of 2019801114240 is 424111089102.

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 63 ways as a sum of consecutive naturals, for example, 349262389 + ... + 349268171.

It is an arithmetic number, because the mean of its divisors is an integer number (15486660000).

Almost surely, 2^{2019801114240} is an apocalyptic number.

2019801114240 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 2019801114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964584960000).

2019801114240 is an abundant number, since it is smaller than the sum of its proper divisors (5909368805760).

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

2019801114240 is a wasteful number, since it uses less digits than its factorization.

2019801114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 2019801114240 in words is "two trillion, nineteen billion, eight hundred one million, one hundred fourteen thousand, two hundred forty".