Search a number
-
+
2081288880 = 24325111913831
BaseRepresentation
bin111110000001101…
…1111001010110000
312101001022102121100
41330003133022300
513230302221010
6542305124400
7102401443416
oct17403371260
95331272540
102081288880
11978919160
124a1029700
132722692a8
1415a5b92b6
15c2abd2c0
hex7c0df2b0

2081288880 has 240 divisors, whose sum is σ = 8026986240. Its totient is φ = 477964800.

The previous prime is 2081288857. The next prime is 2081288917. The reversal of 2081288880 is 888821802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143565 + ... + 157395.

It is an arithmetic number, because the mean of its divisors is an integer number (33445776).

Almost surely, 22081288880 is an apocalyptic number.

2081288880 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 2081288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013493120).

2081288880 is an abundant number, since it is smaller than the sum of its proper divisors (5945697360).

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

2081288880 is a wasteful number, since it uses less digits than its factorization.

2081288880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13880 (or 13871 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 2081288880 is about 45621.1450974217. The cubic root of 2081288880 is about 1276.7644682199.

The spelling of 2081288880 in words is "two billion, eighty-one million, two hundred eighty-eight thousand, eight hundred eighty".