2752380864 has 112 divisors (see below), whose sum is σ = 8310372000. Its totient is φ = 892643328.

The previous prime is 2752380833. The next prime is 2752380899. The reversal of 2752380864 is 4680832572.

2752380864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42412 + ... + 85460.

It is an arithmetic number, because the mean of its divisors is an integer number (74199750).

Almost surely, 2^2752380864 is an apocalyptic number.

2752380864 is a gapful number since it is divisible by the number (24) 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 2752380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155186000).

2752380864 is an abundant number, since it is smaller than the sum of its proper divisors (5557991136).

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

2752380864 is a wasteful number, since it uses less digits than its factorization.

2752380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43107 (or 43091 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2752380864 is about 52463.1381447965. The cubic root of 2752380864 is about 1401.4238683722.

The spelling of 2752380864 in words is "two billion, seven hundred fifty-two million, three hundred eighty thousand, eight hundred sixty-four".