2034823816080 has 1040 divisors, whose sum is σ = 8184611419200. Its totient is φ = 465287224320.

The previous prime is 2034823816037. The next prime is 2034823816127. The reversal of 2034823816080 is 806183284302.

2034823816080 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 8 + 2 + 38 + 1 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 207 ways as a sum of consecutive naturals, for example, 8885693406 + ... + 8885693634.

Almost surely, 2^{2034823816080} is an apocalyptic number.

2034823816080 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 2034823816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092305709600).

2034823816080 is an abundant number, since it is smaller than the sum of its proper divisors (6149787603120).

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

2034823816080 is an equidigital number, since it uses as much as digits as its factorization.

2034823816080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2034823816080 in words is "two trillion, thirty-four billion, eight hundred twenty-three million, eight hundred sixteen thousand, eighty".