2732073984 has 132 divisors (see below), whose sum is σ = 7917836940. Its totient is φ = 907345920.

The previous prime is 2732073979. The next prime is 2732074003. The reversal of 2732073984 is 4893702372.

It can be written as a sum of positive squares in 2 ways, for example, as 608707584 + 2123366400 = 24672^2 + 46080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4801252 + ... + 4801820.

Almost surely, 2^2732073984 is an apocalyptic number.

2732073984 is a gapful number since it is divisible by the number (24) 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 2732073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958918470).

2732073984 is an abundant number, since it is smaller than the sum of its proper divisors (5185762956).

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

2732073984 is a wasteful number, since it uses less digits than its factorization.

2732073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2732073984 is about 52269.2451064677. The cubic root of 2732073984 is about 1397.9688204900.

The spelling of 2732073984 in words is "two billion, seven hundred thirty-two million, seventy-three thousand, nine hundred eighty-four".