| Base | Representation |
|---|---|
| bin | 1001011101101111… |
| … | …0010011100100000 |
| 3 | 20120001200002112200 |
| 4 | 2113123302130200 |
| 5 | 20200401103003 |
| 6 | 1100034453200 |
| 7 | 116650055511 |
| oct | 22733623440 |
| 9 | 6501602480 |
| 10 | 2540644128 |
| 11 | 10941445a0 |
| 12 | 5aaa34200 |
| 13 | 316490229 |
| 14 | 1a15d0a08 |
| 15 | ed0a86a3 |
| hex | 976f2720 |
2540644128 has 144 divisors (see below), whose sum is σ = 8296797600. Its totient is φ = 729354240.
The previous prime is 2540644123. The next prime is 2540644163. The reversal of 2540644128 is 8214460452.
2540644128 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 644 + 1 + 2 + 8 = 666.
2540644128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 2540644092 and 2540644101.
It is not an unprimeable number, because it can be changed into a prime (2540644123) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39088 + ... + 81296.
It is an arithmetic number, because the mean of its divisors is an integer number (57616650).
Almost surely, 22540644128 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 2540644128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148398800).
2540644128 is an abundant number, since it is smaller than the sum of its proper divisors (5756153472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2540644128 is a wasteful number, since it uses less digits than its factorization.
2540644128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42255 (or 42244 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
The square root of 2540644128 is about 50404.8026283210. The cubic root of 2540644128 is about 1364.5243151896.
The spelling of 2540644128 in words is "two billion, five hundred forty million, six hundred forty-four thousand, one hundred twenty-eight".
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