2652272011200 has 672 divisors, whose sum is σ = 10403174154240. Its totient is φ = 578421043200.

The previous prime is 2652272011199. The next prime is 2652272011201. The reversal of 2652272011200 is 21102722562.

2652272011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2652272011199) and next prime (2652272011201).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652272011201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323799105 + ... + 323807295.

It is an arithmetic number, because the mean of its divisors is an integer number (15480913920).

Almost surely, 2^{2652272011200} is an apocalyptic number.

2652272011200 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 2652272011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201587077120).

2652272011200 is an abundant number, since it is smaller than the sum of its proper divisors (7750902143040).

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

2652272011200 is a wasteful number, since it uses less digits than its factorization.

2652272011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8665 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 2652272011200 its reverse (21102722562), we get a palindrome (2673374733762).

The spelling of 2652272011200 in words is "two trillion, six hundred fifty-two billion, two hundred seventy-two million, eleven thousand, two hundred".