2048129250321 has 24 divisors (see below), whose sum is σ = 3465480292704. Its totient is φ = 1063963246080.

The previous prime is 2048129250257. The next prime is 2048129250331. The reversal of 2048129250321 is 1230529218402.

It is not a de Polignac number, because 2048129250321 - 2⁶ = 2048129250257 is a prime.

It is a super-2 number, since 2×2048129250321² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2048129250321.

It is not an unprimeable number, because it can be changed into a prime (2048129250331) 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, 633309840 + ... + 633313073.

It is an arithmetic number, because the mean of its divisors is an integer number (144395012196).

Almost surely, 2^{2048129250321} is an apocalyptic number.

2048129250321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2048129250321 is a deficient number, since it is larger than the sum of its proper divisors (1417351042383).

2048129250321 is a wasteful number, since it uses less digits than its factorization.

2048129250321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266622941 (or 1266622934 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 2048129250321 in words is "two trillion, forty-eight billion, one hundred twenty-nine million, two hundred fifty thousand, three hundred twenty-one".