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2029982976 = 28327217981
BaseRepresentation
bin111100011111111…
…0001010100000000
312020110202211010200
41320333301110000
513124133423401
6533233325200
7101206366500
oct17077612400
95213684120
102029982976
1195196628a
12487a06800
13264744678
14153861a00
15bd336686
hex78ff1500

2029982976 has 162 divisors, whose sum is σ = 6808902282. Its totient is φ = 579962880.

The previous prime is 2029982959. The next prime is 2029982987. The reversal of 2029982976 is 6792899202.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2027160576 + 2822400 = 45024^2 + 1680^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103906 + ... + 121886.

It is an arithmetic number, because the mean of its divisors is an integer number (42030261).

Almost surely, 22029982976 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 2029982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404451141).

2029982976 is an abundant number, since it is smaller than the sum of its proper divisors (4778919306).

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

2029982976 is a wasteful number, since it uses less digits than its factorization.

2029982976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18017 (or 17993 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2029982976 is about 45055.3323814174. The cubic root of 2029982976 is about 1266.1858774867.

The spelling of 2029982976 in words is "two billion, twenty-nine million, nine hundred eighty-two thousand, nine hundred seventy-six".