2652850206720 has 2304 divisors, whose sum is σ = 11951351193600. Its totient is φ = 552287600640.

The previous prime is 2652850206707. The next prime is 2652850206757. The reversal of 2652850206720 is 276020582562.

2652850206720 is a `hidden beast` number, since 2 + 6 + 528 + 50 + 2 + 0 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×2652850206720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85575813105 + ... + 85575813135.

It is an arithmetic number, because the mean of its divisors is an integer number (5187218400).

Almost surely, 2^{2652850206720} is an apocalyptic number.

2652850206720 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 2652850206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975675596800).

2652850206720 is an abundant number, since it is smaller than the sum of its proper divisors (9298500986880).

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

2652850206720 is an frugal number, since it uses more digits than its factorization.

2652850206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2652850206720 in words is "two trillion, six hundred fifty-two billion, eight hundred fifty million, two hundred six thousand, seven hundred twenty".