2724350112 has 480 divisors, whose sum is σ = 9484231680. Its totient is φ = 758315520.

The previous prime is 2724350089. The next prime is 2724350119. The reversal of 2724350112 is 2110534272.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2724350119) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25461163 + ... + 25461269.

It is an arithmetic number, because the mean of its divisors is an integer number (19758816).

Almost surely, 2^2724350112 is an apocalyptic number.

2724350112 is a gapful number since it is divisible by the number (22) 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 2724350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742115840).

2724350112 is an abundant number, since it is smaller than the sum of its proper divisors (6759881568).

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

2724350112 is a wasteful number, since it uses less digits than its factorization.

2724350112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2724350112 is about 52195.3073752804. The cubic root of 2724350112 is about 1396.6501734644.

Adding to 2724350112 its reverse (2110534272), we get a palindrome (4834884384).

It can be divided in two parts, 2724 and 350112, that added together give a square (352836 = 594²).

The spelling of 2724350112 in words is "two billion, seven hundred twenty-four million, three hundred fifty thousand, one hundred twelve".