2081944174320 has 240 divisors, whose sum is σ = 7149057252480. Its totient is φ = 542731063296.

The previous prime is 2081944174301. The next prime is 2081944174337. The reversal of 2081944174320 is 234714491802.

2081944174320 is a `hidden beast` number, since 2 + 0 + 8 + 194 + 417 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28964986 + ... + 29036774.

It is an arithmetic number, because the mean of its divisors is an integer number (29787738552).

Almost surely, 2^{2081944174320} is an apocalyptic number.

2081944174320 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 2081944174320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574528626240).

2081944174320 is an abundant number, since it is smaller than the sum of its proper divisors (5067113078160).

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

2081944174320 is a wasteful number, since it uses less digits than its factorization.

2081944174320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72712 (or 72703 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2081944174320 in words is "two trillion, eighty-one billion, nine hundred forty-four million, one hundred seventy-four thousand, three hundred twenty".