2732240000 has 480 divisors, whose sum is σ = 8581987260. Its totient is φ = 860160000.

The previous prime is 2732239999. The next prime is 2732240009. The reversal of 2732240000 is 422372.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 450458176 + 2281781824 = 21224^2 + 47768^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2732240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 66639980 + ... + 66640020.

Almost surely, 2^2732240000 is an apocalyptic number.

2732240000 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 2732240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290993630).

2732240000 is an abundant number, since it is smaller than the sum of its proper divisors (5849747260).

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

2732240000 is an equidigital number, since it uses as much as digits as its factorization.

2732240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 2732240000 is about 52270.8331672645. The cubic root of 2732240000 is about 1397.9971360349.

Adding to 2732240000 its reverse (422372), we get a palindrome (2732662372).

The spelling of 2732240000 in words is "two billion, seven hundred thirty-two million, two hundred forty thousand".