2038919688960 has 576 divisors, whose sum is σ = 8160901217280. Its totient is φ = 421464637440.

The previous prime is 2038919688959. The next prime is 2038919688961. The reversal of 2038919688960 is 698869198302.

It is an interprime number because it is at equal distance from previous prime (2038919688959) and next prime (2038919688961).

It is not an unprimeable number, because it can be changed into a prime (2038919688961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57048376 + ... + 57084104.

It is an arithmetic number, because the mean of its divisors is an integer number (14168231280).

Almost surely, 2^{2038919688960} is an apocalyptic number.

2038919688960 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 2038919688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080450608640).

2038919688960 is an abundant number, since it is smaller than the sum of its proper divisors (6121981528320).

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

2038919688960 is a wasteful number, since it uses less digits than its factorization.

2038919688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35964 (or 35950 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 69.

The spelling of 2038919688960 in words is "two trillion, thirty-eight billion, nine hundred nineteen million, six hundred eighty-eight thousand, nine hundred sixty".