2652735760 has 80 divisors (see below), whose sum is σ = 6541831296. Its totient is φ = 996931584.

The previous prime is 2652735739. The next prime is 2652735773. The reversal of 2652735760 is 675372562.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 987379 + ... + 990061.

Almost surely, 2^2652735760 is an apocalyptic number.

2652735760 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 2652735760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270915648).

2652735760 is an abundant number, since it is smaller than the sum of its proper divisors (3889095536).

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

2652735760 is a wasteful number, since it uses less digits than its factorization.

2652735760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 43.

The square root of 2652735760 is about 51504.7159005853. The cubic root of 2652735760 is about 1384.3035436317.

The spelling of 2652735760 in words is "two billion, six hundred fifty-two million, seven hundred thirty-five thousand, seven hundred sixty".