2832254208 has 144 divisors (see below), whose sum is σ = 9572133760. Its totient is φ = 809201664.

The previous prime is 2832254203. The next prime is 2832254237. The reversal of 2832254208 is 8024522382.

2832254208 is a `hidden beast` number, since 2 + 8 + 3 + 225 + 420 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832254203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19116 + ... + 77652.

Almost surely, 2^2832254208 is an apocalyptic number.

2832254208 is a gapful number since it is divisible by the number (28) 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 2832254208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786066880).

2832254208 is an abundant number, since it is smaller than the sum of its proper divisors (6739879552).

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

2832254208 is an equidigital number, since it uses as much as digits as its factorization.

2832254208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58569 (or 58549 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2832254208 is about 53218.9271594233. The cubic root of 2832254208 is about 1414.8511221124.

The spelling of 2832254208 in words is "two billion, eight hundred thirty-two million, two hundred fifty-four thousand, two hundred eight".