2829281829281 has 32 divisors (see below), whose sum is σ = 3073678617600. Its totient is φ = 2596221221440.

The previous prime is 2829281829167. The next prime is 2829281829293. The reversal of 2829281829281 is 1829281829282.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2829281829281 is a prime.

It is a super-2 number, since 2×2829281829281² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2829281889281) 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, 156037586 + ... + 156055716.

It is an arithmetic number, because the mean of its divisors is an integer number (96052456800).

Almost surely, 2^{2829281829281} is an apocalyptic number.

It is an amenable number.

2829281829281 is a deficient number, since it is larger than the sum of its proper divisors (244396788319).

2829281829281 is a wasteful number, since it uses less digits than its factorization.

2829281829281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19669.

The product of its digits is 10616832, while the sum is 62.

Subtracting from 2829281829281 its reverse (1829281829282), we obtain a palindrome (999999999999).

The spelling of 2829281829281 in words is "two trillion, eight hundred twenty-nine billion, two hundred eighty-one million, eight hundred twenty-nine thousand, two hundred eighty-one".