2724341520 has 160 divisors (see below), whose sum is σ = 8627840640. Its totient is φ = 710922240.

The previous prime is 2724341507. The next prime is 2724341533. The reversal of 2724341520 is 251434272.

It is an interprime number because it is at equal distance from previous prime (2724341507) and next prime (2724341533).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 5961132 + ... + 5961588.

It is an arithmetic number, because the mean of its divisors is an integer number (53924004).

Almost surely, 2^2724341520 is an apocalyptic number.

2724341520 is a gapful number since it is divisible by the number (20) 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 2724341520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313920320).

2724341520 is an abundant number, since it is smaller than the sum of its proper divisors (5903499120).

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

2724341520 is a wasteful number, since it uses less digits than its factorization.

2724341520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2724341520 is about 52195.2250689658. The cubic root of 2724341520 is about 1396.6487052206.

Adding to 2724341520 its reverse (251434272), we get a palindrome (2975775792).

The spelling of 2724341520 in words is "two billion, seven hundred twenty-four million, three hundred forty-one thousand, five hundred twenty".