2652282006528 has 704 divisors, whose sum is σ = 9106661634048. Its totient is φ = 666321223680.

The previous prime is 2652282006503. The next prime is 2652282006547. The reversal of 2652282006528 is 8256002822562.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×2652282006528² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088337726 + ... + 1088340162.

It is an arithmetic number, because the mean of its divisors is an integer number (12935598912).

Almost surely, 2^{2652282006528} is an apocalyptic number.

2652282006528 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 2652282006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553330817024).

2652282006528 is an abundant number, since it is smaller than the sum of its proper divisors (6454379627520).

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

2652282006528 is a wasteful number, since it uses less digits than its factorization.

2652282006528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 2652282006528 in words is "two trillion, six hundred fifty-two billion, two hundred eighty-two million, six thousand, five hundred twenty-eight".