2019801798432 has 480 divisors, whose sum is σ = 6907682073600. Its totient is φ = 572170936320.

The previous prime is 2019801798407. The next prime is 2019801798437. The reversal of 2019801798432 is 2348971089102.

2019801798432 is a `hidden beast` number, since 2 + 0 + 198 + 0 + 17 + 9 + 8 + 432 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2019801798437) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72206913 + ... + 72234879.

It is an arithmetic number, because the mean of its divisors is an integer number (14391004320).

Almost surely, 2^{2019801798432} is an apocalyptic number.

2019801798432 is a gapful number since it is divisible by the number (22) 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 2019801798432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453841036800).

2019801798432 is an abundant number, since it is smaller than the sum of its proper divisors (4887880275168).

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

2019801798432 is a wasteful number, since it uses less digits than its factorization.

2019801798432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28166 (or 28149 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2019801798432 in words is "two trillion, nineteen billion, eight hundred one million, seven hundred ninety-eight thousand, four hundred thirty-two".