2148585630719 has 96 divisors (see below), whose sum is σ = 2550836800512. Its totient is φ = 1804122777600.

The previous prime is 2148585630671. The next prime is 2148585630721. The reversal of 2148585630719 is 9170365858412.

It is a de Polignac number, because none of the positive numbers 2^k-2148585630719 is a prime.

It is a super-2 number, since 2×2148585630719² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148585630019) 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, 3762846704 + ... + 3762847274.

It is an arithmetic number, because the mean of its divisors is an integer number (26571216672).

It is a 1-persistent number, because it is pandigital, but 2⋅2148585630719 = 4297171261438 is not.

Almost surely, 2^{2148585630719} is an apocalyptic number.

2148585630719 is a deficient number, since it is larger than the sum of its proper divisors (402251169793).

2148585630719 is a wasteful number, since it uses less digits than its factorization.

2148585630719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 59.

The spelling of 2148585630719 in words is "two trillion, one hundred forty-eight billion, five hundred eighty-five million, six hundred thirty thousand, seven hundred nineteen".