| Base | Representation |
|---|---|
| bin | 1001010110101110… |
| … | …1101101110000000 |
| 3 | 20111000101110110111 |
| 4 | 2111223231232000 |
| 5 | 20120340432030 |
| 6 | 1053105041104 |
| 7 | 116142253153 |
| oct | 22553555600 |
| 9 | 6430343414 |
| 10 | 2511264640 |
| 11 | 10795a8325 |
| 12 | 5a1026194 |
| 13 | 310374811 |
| 14 | 19b743c9a |
| 15 | ea70362a |
| hex | 95aedb80 |
2511264640 has 64 divisors (see below), whose sum is σ = 6079608000. Its totient is φ = 991770624.
The previous prime is 2511264619. The next prime is 2511264697. The reversal of 2511264640 is 464621152.
It is a happy number.
2511264640 is digitally balanced in base 2, because in such base 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 (64).
It is a super-2 number, since 2×25112646402 = 12612900184228659200, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25726 + ... + 75394.
It is an arithmetic number, because the mean of its divisors is an integer number (94993875).
Almost surely, 22511264640 is an apocalyptic number.
2511264640 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 2511264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039804000).
2511264640 is an abundant number, since it is smaller than the sum of its proper divisors (3568343360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2511264640 is an equidigital number, since it uses as much as digits as its factorization.
2511264640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 49767 (or 49755 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 31.
The square root of 2511264640 is about 50112.5197929619. The cubic root of 2511264640 is about 1359.2442167499.
Adding to 2511264640 its reverse (464621152), we get a palindrome (2975885792).
The spelling of 2511264640 in words is "two billion, five hundred eleven million, two hundred sixty-four thousand, six hundred forty".
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