| Base | Representation |
|---|---|
| bin | 11101001011100011101… |
| … | …100010101101000000000 |
| 3 | 21002200222001100000012000 |
| 4 | 131023203230111220000 |
| 5 | 230323300322422010 |
| 6 | 4133113250304000 |
| 7 | 264606402441315 |
| oct | 35134354255000 |
| 9 | 7080861300160 |
| 10 | 2005274810880 |
| 11 | 703483398320 |
| 12 | 284776588000 |
| 13 | 117134311743 |
| 14 | 6d0ad248d0c |
| 15 | 372661197c0 |
| hex | 1d2e3b15a00 |
2005274810880 has 1280 divisors, whose sum is σ = 8251357593600. Its totient is φ = 456497233920.
The previous prime is 2005274810857. The next prime is 2005274810893. The reversal of 2005274810880 is 880184725002.
It is a happy number.
2005274810880 is a `hidden beast` number, since 2 + 0 + 0 + 527 + 48 + 1 + 0 + 8 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (1280).
It is a super-2 number, since 2×20052748108802 (a number of 25 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
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 127 ways as a sum of consecutive naturals, for example, 1834651614 + ... + 1834652706.
It is an arithmetic number, because the mean of its divisors is an integer number (6446373120).
Almost surely, 22005274810880 is an apocalyptic number.
2005274810880 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 2005274810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125678796800).
2005274810880 is an abundant number, since it is smaller than the sum of its proper divisors (6246082782720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2005274810880 is a wasteful number, since it uses less digits than its factorization.
2005274810880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1282 (or 1260 counting only the distinct ones).
The product of its (nonzero) digits is 286720, while the sum is 45.
The spelling of 2005274810880 in words is "two trillion, five billion, two hundred seventy-four million, eight hundred ten thousand, eight hundred eighty".
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