| Base | Representation |
|---|---|
| bin | 1001110111010110… |
| … | …0110101100100000 |
| 3 | 20211112211011001100 |
| 4 | 2131311212230200 |
| 5 | 20410401400130 |
| 6 | 1114433234400 |
| 7 | 122423160252 |
| oct | 23565465440 |
| 9 | 6745734040 |
| 10 | 2648075040 |
| 11 | 1139850a76 |
| 12 | 61aa02a00 |
| 13 | 332806110 |
| 14 | 1b1997cd2 |
| 15 | 107729c60 |
| hex | 9dd66b20 |
2648075040 has 576 divisors, whose sum is σ = 10565414496. Its totient is φ = 598081536.
The previous prime is 2648074991. The next prime is 2648075047. The reversal of 2648075040 is 405708462.
2648075040 is a `hidden beast` number, since 2 + 648 + 0 + 7 + 5 + 0 + 4 + 0 = 666.
2648075040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 16 ways, for example, as 204947856 + 2443127184 = 14316^2 + 49428^2 .
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 = 2648074986 and 2648075004.
It is not an unprimeable number, because it can be changed into a prime (2648075047) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16866642 + ... + 16866798.
Almost surely, 22648075040 is an apocalyptic number.
2648075040 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 2648075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282707248).
2648075040 is an abundant number, since it is smaller than the sum of its proper divisors (7917339456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2648075040 is a wasteful number, since it uses less digits than its factorization.
2648075040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 261 (or 250 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The square root of 2648075040 is about 51459.4504440147. The cubic root of 2648075040 is about 1383.4923517137.
The spelling of 2648075040 in words is "two billion, six hundred forty-eight million, seventy-five thousand, forty".
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