2019003345744 has 480 divisors, whose sum is σ = 6694538188800. Its totient is φ = 513101952000.

The previous prime is 2019003345721. The next prime is 2019003345757. The reversal of 2019003345744 is 4475433009102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2019003345696 and 2019003345705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493521139 + ... + 493525229.

It is an arithmetic number, because the mean of its divisors is an integer number (13946954560).

Almost surely, 2^{2019003345744} is an apocalyptic number.

2019003345744 is a gapful number since it is divisible by the number (24) 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 2019003345744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347269094400).

2019003345744 is an abundant number, since it is smaller than the sum of its proper divisors (4675534843056).

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

2019003345744 is a wasteful number, since it uses less digits than its factorization.

2019003345744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 2019003345744 in words is "two trillion, nineteen billion, three million, three hundred forty-five thousand, seven hundred forty-four".