2029596280321 has 27 divisors (see below), whose sum is σ = 2167153382601. Its totient is φ = 1900491220224.

The previous prime is 2029596280303. The next prime is 2029596280331. The reversal of 2029596280321 is 1230826959202.

It is a happy number.

The square root of 2029596280321 is 1424639.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 612210788721 + 1417385491600 = 782439^2 + 1190540^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2029596280321 is a prime.

It is a super-2 number, since 2×2029596280321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2029596280331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2625609291 + ... + 2625610063.

Almost surely, 2^{2029596280321} is an apocalyptic number.

2029596280321 is the 1424639-th square number.

2029596280321 is the 712320-th centered octagonal number.

It is an amenable number.

2029596280321 is a deficient number, since it is larger than the sum of its proper divisors (137557102280).

2029596280321 is an frugal number, since it uses more digits than its factorization.

2029596280321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 2029596280321 by its sum of digits (49), we get a square (99450217735729 = 9972473²).

The spelling of 2029596280321 in words is "two trillion, twenty-nine billion, five hundred ninety-six million, two hundred eighty thousand, three hundred twenty-one".