2067844331040 has 576 divisors, whose sum is σ = 7123899912192. Its totient is φ = 503590348800.

The previous prime is 2067844331039. The next prime is 2067844331099. The reversal of 2067844331040 is 401334487602.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2067844330983 and 2067844331001.

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 95 ways as a sum of consecutive naturals, for example, 1778025499 + ... + 1778026661.

It is an arithmetic number, because the mean of its divisors is an integer number (12367881792).

Almost surely, 2^{2067844331040} is an apocalyptic number.

2067844331040 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 2067844331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561949956096).

2067844331040 is an abundant number, since it is smaller than the sum of its proper divisors (5056055581152).

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

2067844331040 is a wasteful number, since it uses less digits than its factorization.

2067844331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 2067844331040 in words is "two trillion, sixty-seven billion, eight hundred forty-four million, three hundred thirty-one thousand, forty".