| Base | Representation |
|---|---|
| bin | 111111101100100… |
| … | …1000110101110000 |
| 3 | 12111221200220021000 |
| 4 | 1333121020311300 |
| 5 | 13334121434430 |
| 6 | 552025402000 |
| 7 | 103651501242 |
| oct | 17731106560 |
| 9 | 5457626230 |
| 10 | 2137296240 |
| 11 | 9a74a2332 |
| 12 | 4b7939300 |
| 13 | 280a48b41 |
| 14 | 163bd8092 |
| 15 | c7982e60 |
| hex | 7f648d70 |
2137296240 has 320 divisors, whose sum is σ = 7742361600. Its totient is φ = 541209600.
The previous prime is 2137296233. The next prime is 2137296241. The reversal of 2137296240 is 426927312.
2137296240 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 29 + 624 + 0 = 666.
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 = 2137296195 and 2137296204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2137296241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3950370 + ... + 3950910.
It is an arithmetic number, because the mean of its divisors is an integer number (24194880).
Almost surely, 22137296240 is an apocalyptic number.
2137296240 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 2137296240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871180800).
2137296240 is an abundant number, since it is smaller than the sum of its proper divisors (5605065360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2137296240 is a wasteful number, since it uses less digits than its factorization.
2137296240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 653 (or 641 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 2137296240 is about 46230.9013539645. The cubic root of 2137296240 is about 1288.1157998067.
The spelling of 2137296240 in words is "two billion, one hundred thirty-seven million, two hundred ninety-six thousand, two hundred forty".
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