2148585630720 has 352 divisors, whose sum is σ = 7149067257600. Its totient is φ = 550088146944.

The previous prime is 2148585630671. The next prime is 2148585630721. The reversal of 2148585630720 is 270365858412.

It is not an unprimeable number, because it can be changed into a prime (2148585630721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79720287 + ... + 79747233.

Almost surely, 2^{2148585630720} is an apocalyptic number.

2148585630720 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 2148585630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574533628800).

2148585630720 is an abundant number, since it is smaller than the sum of its proper divisors (5000481626880).

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

2148585630720 is a wasteful number, since it uses less digits than its factorization.

2148585630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27183 (or 27165 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 2148585630720 in words is "two trillion, one hundred forty-eight billion, five hundred eighty-five million, six hundred thirty thousand, seven hundred twenty".