2033982382080 has 896 divisors, whose sum is σ = 7734243916800. Its totient is φ = 450861465600.

The previous prime is 2033982382079. The next prime is 2033982382141. The reversal of 2033982382080 is 802832893302.

It is a super-2 number, since 2×2033982382080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744774315 + ... + 744777045.

Almost surely, 2^{2033982382080} is an apocalyptic number.

2033982382080 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 2033982382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867121958400).

2033982382080 is an abundant number, since it is smaller than the sum of its proper divisors (5700261534720).

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

2033982382080 is a wasteful number, since it uses less digits than its factorization.

2033982382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 2033982382080 in words is "two trillion, thirty-three billion, nine hundred eighty-two million, three hundred eighty-two thousand, eighty".