2929629331456 has 57 divisors (see below), whose sum is σ = 5861000702991. Its totient is φ = 1464376492032.

The previous prime is 2929629331441. The next prime is 2929629331463. The reversal of 2929629331456 is 6541339269292.

The square root of 2929629331456 is 1711616.

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

It is a super-2 number, since 2×2929629331456² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2929629331394 and 2929629331403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 876345721 + ... + 876349063.

Almost surely, 2^{2929629331456} is an apocalyptic number.

2929629331456 is the 1711616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2929629331456

2929629331456 is an abundant number, since it is smaller than the sum of its proper divisors (2931371371535).

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

2929629331456 is an frugal number, since it uses more digits than its factorization.

2929629331456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 3345 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 61.

The spelling of 2929629331456 in words is "two trillion, nine hundred twenty-nine billion, six hundred twenty-nine million, three hundred thirty-one thousand, four hundred fifty-six".