2152303763584 has 128 divisors (see below), whose sum is σ = 4795839982080. Its totient is φ = 955425300480.

The previous prime is 2152303763581. The next prime is 2152303763633. The reversal of 2152303763584 is 4853673032512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2152303763584² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2152303763581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8280204 + ... + 8536180.

It is an arithmetic number, because the mean of its divisors is an integer number (37467499860).

Almost surely, 2^{2152303763584} 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 2152303763584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397919991040).

2152303763584 is an abundant number, since it is smaller than the sum of its proper divisors (2643536218496).

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

2152303763584 is a wasteful number, since it uses less digits than its factorization.

2152303763584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256198 (or 256186 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 2152303763584 in words is "two trillion, one hundred fifty-two billion, three hundred three million, seven hundred sixty-three thousand, five hundred eighty-four".