2732354688 has 256 divisors, whose sum is σ = 8647511040. Its totient is φ = 748154880.

The previous prime is 2732354657. The next prime is 2732354689. The reversal of 2732354688 is 8864532372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2732354689) 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 31 ways as a sum of consecutive naturals, for example, 8254683 + ... + 8255013.

It is an arithmetic number, because the mean of its divisors is an integer number (33779340).

Almost surely, 2^2732354688 is an apocalyptic number.

2732354688 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 2732354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323755520).

2732354688 is an abundant number, since it is smaller than the sum of its proper divisors (5915156352).

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

2732354688 is a wasteful number, since it uses less digits than its factorization.

2732354688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 2732354688 is about 52271.9302111564. The cubic root of 2732354688 is about 1398.0166964508.

The spelling of 2732354688 in words is "two billion, seven hundred thirty-two million, three hundred fifty-four thousand, six hundred eighty-eight".