2250752772096 has 288 divisors, whose sum is σ = 6895150942680. Its totient is φ = 704869564416.

The previous prime is 2250752772017. The next prime is 2250752772097. The reversal of 2250752772096 is 6902772570522.

2250752772096 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 7 + 527 + 7 + 20 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2071112426496 + 179640345600 = 1439136^2 + 423840^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2250752772097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185806936 + ... + 185819048.

Almost surely, 2^{2250752772096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250752772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447575471340).

2250752772096 is an abundant number, since it is smaller than the sum of its proper divisors (4644398170584).

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

2250752772096 is a wasteful number, since it uses less digits than its factorization.

2250752772096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 2250752772096 in words is "two trillion, two hundred fifty billion, seven hundred fifty-two million, seven hundred seventy-two thousand, ninety-six".