2731432704 has 864 divisors, whose sum is σ = 10961072640. Its totient is φ = 583925760.

The previous prime is 2731432703. The next prime is 2731432741. The reversal of 2731432704 is 4072341372.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2731432703) 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 95 ways as a sum of consecutive naturals, for example, 143759607 + ... + 143759625.

Almost surely, 2^2731432704 is an apocalyptic number.

2731432704 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 2731432704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480536320).

2731432704 is an abundant number, since it is smaller than the sum of its proper divisors (8229639936).

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

2731432704 is a wasteful number, since it uses less digits than its factorization.

2731432704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 2731432704 is about 52263.1103552018. The cubic root of 2731432704 is about 1397.8594335552.

The spelling of 2731432704 in words is "two billion, seven hundred thirty-one million, four hundred thirty-two thousand, seven hundred four".