2019824961000 has 512 divisors, whose sum is σ = 8319041003520. Its totient is φ = 395014656000.

The previous prime is 2019824960981. The next prime is 2019824961013. The reversal of 2019824961000 is 1694289102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3669829 + ... + 4184171.

It is an arithmetic number, because the mean of its divisors is an integer number (16248126960).

Almost surely, 2^{2019824961000} is an apocalyptic number.

2019824961000 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 2019824961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159520501760).

2019824961000 is an abundant number, since it is smaller than the sum of its proper divisors (6299216042520).

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

2019824961000 is a wasteful number, since it uses less digits than its factorization.

2019824961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514402 (or 514388 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 2019824961000 in words is "two trillion, nineteen billion, eight hundred twenty-four million, nine hundred sixty-one thousand".