2029596985768 has 96 divisors (see below), whose sum is σ = 4206723202080. Its totient is φ = 917302320000.

The previous prime is 2029596985763. The next prime is 2029596985799. The reversal of 2029596985768 is 8675896959202.

It is a junction number, because it is equal to n+sod(n) for n = 2029596985694 and 2029596985703.

It is not an unprimeable number, because it can be changed into a prime (2029596985763) 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, 148932571 + ... + 148946197.

It is an arithmetic number, because the mean of its divisors is an integer number (43820033355).

Almost surely, 2^{2029596985768} 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 2029596985768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103361601040).

2029596985768 is an abundant number, since it is smaller than the sum of its proper divisors (2177126216312).

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

2029596985768 is a wasteful number, since it uses less digits than its factorization.

2029596985768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14519 (or 14504 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 76.

The spelling of 2029596985768 in words is "two trillion, twenty-nine billion, five hundred ninety-six million, nine hundred eighty-five thousand, seven hundred sixty-eight".