2652756288 has 448 divisors, whose sum is σ = 9312737280. Its totient is φ = 646963200.

The previous prime is 2652756283. The next prime is 2652756343. The reversal of 2652756288 is 8826572562.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 2652756288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652756283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20249983 + ... + 20250113.

It is an arithmetic number, because the mean of its divisors is an integer number (20787360).

Almost surely, 2^2652756288 is an apocalyptic number.

2652756288 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 2652756288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656368640).

2652756288 is an abundant number, since it is smaller than the sum of its proper divisors (6659980992).

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

2652756288 is a wasteful number, since it uses less digits than its factorization.

2652756288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 2652756288 is about 51504.9151829221. The cubic root of 2652756288 is about 1384.3071143995.

The spelling of 2652756288 in words is "two billion, six hundred fifty-two million, seven hundred fifty-six thousand, two hundred eighty-eight".