2732361984 has 315 divisors, whose sum is σ = 8995012915. Its totient is φ = 827988480.

The previous prime is 2732361923. The next prime is 2732362001. The reversal of 2732361984 is 4891632372.

The square root of 2732361984 is 52272.

It is a perfect power (a square), and thus also a powerful number.

2732361984 is a `hidden beast` number, since 2 + 7 + 3 + 23 + 619 + 8 + 4 = 666.

It is a Duffinian number.

Its product of digits (435456) is a multiple of the sum of its prime divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 248396539 + ... + 248396549.

Almost surely, 2^2732361984 is an apocalyptic number.

2732361984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2732361984 is the 52272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2732361984

2732361984 is an abundant number, since it is smaller than the sum of its proper divisors (6262650931).

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

2732361984 is an frugal number, since it uses more digits than its factorization.

2732361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 16 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The cubic root of 2732361984 is about 1398.0179407891.

The spelling of 2732361984 in words is "two billion, seven hundred thirty-two million, three hundred sixty-one thousand, nine hundred eighty-four".