| Base | Representation |
|---|---|
| bin | 1001100010101100… |
| … | …1100001101100000 |
| 3 | 20121111211121020100 |
| 4 | 2120223030031200 |
| 5 | 20221213142130 |
| 6 | 1102100542400 |
| 7 | 120322020420 |
| oct | 23053141540 |
| 9 | 6544747210 |
| 10 | 2561459040 |
| 11 | 10a49710a8 |
| 12 | 5b59b1a00 |
| 13 | 31a89a54a |
| 14 | 1a428c480 |
| 15 | eed1ac60 |
| hex | 98acc360 |
2561459040 has 432 divisors, whose sum is σ = 10301080608. Its totient is φ = 567668736.
The previous prime is 2561459039. The next prime is 2561459083. The reversal of 2561459040 is 409541652.
2561459040 is a `hidden beast` number, since 2 + 5 + 61 + 4 + 590 + 4 + 0 = 666.
It is a super-2 number, since 2×25614590402 = 13122144827195443200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2561458986 and 2561459004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35088444 + ... + 35088516.
It is an arithmetic number, because the mean of its divisors is an integer number (23845094).
Almost surely, 22561459040 is an apocalyptic number.
2561459040 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 2561459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150540304).
2561459040 is an abundant number, since it is smaller than the sum of its proper divisors (7739621568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2561459040 is a wasteful number, since it uses less digits than its factorization.
2561459040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 219 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
The square root of 2561459040 is about 50610.8589138734. The cubic root of 2561459040 is about 1368.2405958280.
The spelling of 2561459040 in words is "two billion, five hundred sixty-one million, four hundred fifty-nine thousand, forty".
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