2832006240 has 960 divisors, whose sum is σ = 12645642240. Its totient is φ = 582266880.

The previous prime is 2832006239. The next prime is 2832006241. The reversal of 2832006240 is 426002382.

2832006240 is a `hidden beast` number, since 2 + 8 + 32 + 0 + 0 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2832006239) and next prime (2832006241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832006241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53434054 + ... + 53434106.

It is an arithmetic number, because the mean of its divisors is an integer number (13172544).

Almost surely, 2^2832006240 is an apocalyptic number.

2832006240 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 2832006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322821120).

2832006240 is an abundant number, since it is smaller than the sum of its proper divisors (9813636000).

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

2832006240 is a wasteful number, since it uses less digits than its factorization.

2832006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2832006240 is about 53216.5974109582. The cubic root of 2832006240 is about 1414.8098301453.

The spelling of 2832006240 in words is "two billion, eight hundred thirty-two million, six thousand, two hundred forty".