2029872576816 has 320 divisors, whose sum is σ = 6684339159040. Its totient is φ = 577747779840.

The previous prime is 2029872576773. The next prime is 2029872576829. The reversal of 2029872576816 is 6186752789202.

2029872576816 is a `hidden beast` number, since 20 + 29 + 8 + 7 + 2 + 576 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572325131 + ... + 1572326421.

It is an arithmetic number, because the mean of its divisors is an integer number (20888559872).

Almost surely, 2^{2029872576816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029872576816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342169579520).

2029872576816 is an abundant number, since it is smaller than the sum of its proper divisors (4654466582224).

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

2029872576816 is a wasteful number, since it uses less digits than its factorization.

2029872576816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 2029872576816 in words is "two trillion, twenty-nine billion, eight hundred seventy-two million, five hundred seventy-six thousand, eight hundred sixteen".