2832040397160 has 256 divisors, whose sum is σ = 10172745273600. Its totient is φ = 696675603456.

The previous prime is 2832040397159. The next prime is 2832040397171. The reversal of 2832040397160 is 617930402382.

2832040397160 is a `hidden beast` number, since 2 + 83 + 2 + 0 + 403 + 9 + 7 + 160 = 666.

It is a super-2 number, since 2×2832040397160² (a number of 26 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 22358727 + ... + 22485033.

It is an arithmetic number, because the mean of its divisors is an integer number (39737286225).

Almost surely, 2^{2832040397160} is an apocalyptic number.

2832040397160 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 2832040397160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086372636800).

2832040397160 is an abundant number, since it is smaller than the sum of its proper divisors (7340704876440).

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

2832040397160 is a wasteful number, since it uses less digits than its factorization.

2832040397160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127937 (or 127927 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2832040397160 in words is "two trillion, eight hundred thirty-two billion, forty million, three hundred ninety-seven thousand, one hundred sixty".