2832214986240 has 160 divisors (see below), whose sum is σ = 9097153566336. Its totient is φ = 751677480960.

The previous prime is 2832214986233. The next prime is 2832214986241. The reversal of 2832214986240 is 426894122382.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×2832214986240⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832214986241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 746599 + ... + 2494361.

Almost surely, 2^{2832214986240} is an apocalyptic number.

2832214986240 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 2832214986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548576783168).

2832214986240 is an abundant number, since it is smaller than the sum of its proper divisors (6264938580096).

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

2832214986240 is a wasteful number, since it uses less digits than its factorization.

2832214986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748000 (or 1747984 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 2832214986240 in words is "two trillion, eight hundred thirty-two billion, two hundred fourteen million, nine hundred eighty-six thousand, two hundred forty".