| Base | Representation |
|---|---|
| bin | 1001001101010011… |
| … | …1100101001111000 |
| 3 | 20101021000111200200 |
| 4 | 2103110330221320 |
| 5 | 20030231221242 |
| 6 | 1045134002200 |
| 7 | 115152314052 |
| oct | 22324745170 |
| 9 | 6337014620 |
| 10 | 2471742072 |
| 11 | 1059263448 |
| 12 | 58b946360 |
| 13 | 305117397 |
| 14 | 1963b68d2 |
| 15 | e6ee804c |
| hex | 9353ca78 |
2471742072 has 192 divisors, whose sum is σ = 7296307200. Its totient is φ = 753338880.
The previous prime is 2471742071. The next prime is 2471742073. The reversal of 2471742072 is 2702471742.
It is a happy number.
2471742072 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 an interprime number because it is at equal distance from previous prime (2471742071) and next prime (2471742073).
It is a super-2 number, since 2×24717420722 = 12219017740989706368, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2471742071) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7123003 + ... + 7123349.
It is an arithmetic number, because the mean of its divisors is an integer number (38001600).
Almost surely, 22471742072 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 2471742072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648153600).
2471742072 is an abundant number, since it is smaller than the sum of its proper divisors (4824565128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2471742072 is a wasteful number, since it uses less digits than its factorization.
2471742072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 546 (or 539 counting only the distinct ones).
The product of its (nonzero) digits is 43904, while the sum is 36.
The square root of 2471742072 is about 49716.6176645194. The cubic root of 2471742072 is about 1352.0758319685.
The spelling of 2471742072 in words is "two billion, four hundred seventy-one million, seven hundred forty-two thousand, seventy-two".
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