2029896960 has 576 divisors, whose sum is σ = 8246902272. Its totient is φ = 414056448.

The previous prime is 2029896943. The next prime is 2029896983. The reversal of 2029896960 is 696989202.

It is a congruent number.

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, 12929202 + ... + 12929358.

Almost surely, 2^2029896960 is an apocalyptic number.

2029896960 is a gapful number since it is divisible by the number (20) 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 2029896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123451136).

2029896960 is an abundant number, since it is smaller than the sum of its proper divisors (6217005312).

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

2029896960 is a wasteful number, since it uses less digits than its factorization.

2029896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 2029896960 is about 45054.3778117066. The cubic root of 2029896960 is about 1266.1679933001.

The spelling of 2029896960 in words is "two billion, twenty-nine million, eight hundred ninety-six thousand, nine hundred sixty".