2029855968 has 216 divisors, whose sum is σ = 6799659048. Its totient is φ = 572640768.

The previous prime is 2029855943. The next prime is 2029856009. The reversal of 2029855968 is 8695589202.

2029855968 is a `hidden beast` number, since 2 + 0 + 29 + 8 + 559 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1170430 + ... + 1172162.

It is an arithmetic number, because the mean of its divisors is an integer number (31479903).

Almost surely, 2^2029855968 is an apocalyptic number.

2029855968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399829524).

2029855968 is an abundant number, since it is smaller than the sum of its proper divisors (4769803080).

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

2029855968 is a wasteful number, since it uses less digits than its factorization.

2029855968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 2029855968 is about 45053.9228924630. The cubic root of 2029855968 is about 1266.1594701897.

The spelling of 2029855968 in words is "two billion, twenty-nine million, eight hundred fifty-five thousand, nine hundred sixty-eight".