2724831252 has 240 divisors, whose sum is σ = 8735836032. Its totient is φ = 728766720.

The previous prime is 2724831199. The next prime is 2724831253. The reversal of 2724831252 is 2521384272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724831253) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1064358 + ... + 1066914.

Almost surely, 2^2724831252 is an apocalyptic number.

2724831252 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 2724831252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367918016).

2724831252 is an abundant number, since it is smaller than the sum of its proper divisors (6011004780).

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

2724831252 is a wasteful number, since it uses less digits than its factorization.

2724831252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2609 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2724831252 is about 52199.9162068293. The cubic root of 2724831252 is about 1396.7323881433.

The spelling of 2724831252 in words is "two billion, seven hundred twenty-four million, eight hundred thirty-one thousand, two hundred fifty-two".