2736224288 has 54 divisors (see below), whose sum is σ = 6271189533. Its totient is φ = 1171779840.

The previous prime is 2736224287. The next prime is 2736224291. The reversal of 2736224288 is 8824226372.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2085566224 + 650658064 = 45668^2 + 25508^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=36988.

It is a super-2 number, since 2×2736224288² = 14973846708482213888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2736224287) 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 8 ways as a sum of consecutive naturals, for example, 2070668 + ... + 2071988.

Almost surely, 2^2736224288 is an apocalyptic number.

2736224288 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 2736224288

2736224288 is an abundant number, since it is smaller than the sum of its proper divisors (3534965245).

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

2736224288 is an frugal number, since it uses more digits than its factorization.

2736224288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 1330 counting only the distinct ones).

The product of its digits is 516096, while the sum is 44.

The square root of 2736224288 is about 52308.9312450560. The cubic root of 2736224288 is about 1398.6763489286.

The spelling of 2736224288 in words is "two billion, seven hundred thirty-six million, two hundred twenty-four thousand, two hundred eighty-eight".