2724552768 has 224 divisors, whose sum is σ = 8764194816. Its totient is φ = 730109952.

The previous prime is 2724552767. The next prime is 2724552811. The reversal of 2724552768 is 8672554272.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2724552767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1637505 + ... + 1639167.

Almost surely, 2^2724552768 is an apocalyptic number.

2724552768 is a gapful number since it is divisible by the number (28) 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 2724552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382097408).

2724552768 is an abundant number, since it is smaller than the sum of its proper divisors (6039642048).

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

2724552768 is a wasteful number, since it uses less digits than its factorization.

2724552768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1751 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The square root of 2724552768 is about 52197.2486631240. The cubic root of 2724552768 is about 1396.6848034383.

The spelling of 2724552768 in words is "two billion, seven hundred twenty-four million, five hundred fifty-two thousand, seven hundred sixty-eight".