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2855062080 = 263451337229
BaseRepresentation
bin1010101000101100…
…1100101001000000
321100222022011220000
42222023030221000
521321343441310
61151145520000
7130515425103
oct25213145100
97328264800
102855062080
111235676442
126781a3000
13366668760
141d127873a
1511a9b44c0
hexaa2cca40

2855062080 has 560 divisors, whose sum is σ = 11281836720. Its totient is φ = 680804352.

The previous prime is 2855062069. The next prime is 2855062109. The reversal of 2855062080 is 802605582.

2855062080 is a `hidden beast` number, since 2 + 8 + 550 + 6 + 20 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 137733696 + 2717328384 = 11736^2 + 52128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12467406 + ... + 12467634.

It is an arithmetic number, because the mean of its divisors is an integer number (20146137).

Almost surely, 22855062080 is an apocalyptic number.

2855062080 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 2855062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640918360).

2855062080 is an abundant number, since it is smaller than the sum of its proper divisors (8426774640).

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

2855062080 is a wasteful number, since it uses less digits than its factorization.

2855062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2855062080 is about 53432.7809495257. The cubic root of 2855062080 is about 1418.6388596851.

The spelling of 2855062080 in words is "two billion, eight hundred fifty-five million, sixty-two thousand, eighty".