2724564260 has 72 divisors (see below), whose sum is σ = 6306370560. Its totient is φ = 988018240.

The previous prime is 2724564259. The next prime is 2724564277. The reversal of 2724564260 is 624654272.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1012637 + ... + 1015323.

It is an arithmetic number, because the mean of its divisors is an integer number (87588480).

Almost surely, 2^2724564260 is an apocalyptic number.

2724564260 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 2724564260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153185280).

2724564260 is an abundant number, since it is smaller than the sum of its proper divisors (3581806300).

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

2724564260 is a wasteful number, since it uses less digits than its factorization.

2724564260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The square root of 2724564260 is about 52197.3587454385. The cubic root of 2724564260 is about 1396.6867671464.

The spelling of 2724564260 in words is "two billion, seven hundred twenty-four million, five hundred sixty-four thousand, two hundred sixty".