2731458496 has 112 divisors (see below), whose sum is σ = 6119164800. Its totient is φ = 1200955392.

The previous prime is 2731458491. The next prime is 2731458503. The reversal of 2731458496 is 6948541372.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731458491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1905396 + ... + 1906828.

It is an arithmetic number, because the mean of its divisors is an integer number (54635400).

Almost surely, 2^2731458496 is an apocalyptic number.

2731458496 is a gapful number since it is divisible by the number (26) 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 2731458496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059582400).

2731458496 is an abundant number, since it is smaller than the sum of its proper divisors (3387706304).

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

2731458496 is a wasteful number, since it uses less digits than its factorization.

2731458496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1556 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 2731458496 is about 52263.3571061026. The cubic root of 2731458496 is about 1397.8638333801.

The spelling of 2731458496 in words is "two billion, seven hundred thirty-one million, four hundred fifty-eight thousand, four hundred ninety-six".