| Base | Representation |
|---|---|
| bin | 1001011101101010… |
| … | …1000100011000000 |
| 3 | 20120001002201100000 |
| 4 | 2113122220203000 |
| 5 | 20200311411230 |
| 6 | 1100024200000 |
| 7 | 116644355160 |
| oct | 22732504300 |
| 9 | 6501081300 |
| 10 | 2540341440 |
| 11 | 1093a5813a |
| 12 | 5aa909000 |
| 13 | 3163b5520 |
| 14 | 1a15525a0 |
| 15 | ed048b60 |
| hex | 976a88c0 |
2540341440 has 672 divisors, whose sum is σ = 11183477760. Its totient is φ = 534491136.
The previous prime is 2540341423. The next prime is 2540341451. The reversal of 2540341440 is 441430452.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-3 number, since 3×25403414403 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7075981 + ... + 7076339.
It is an arithmetic number, because the mean of its divisors is an integer number (16642080).
Almost surely, 22540341440 is an apocalyptic number.
2540341440 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 2540341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591738880).
2540341440 is an abundant number, since it is smaller than the sum of its proper divisors (8643136320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2540341440 is a wasteful number, since it uses less digits than its factorization.
2540341440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 411 (or 389 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
The square root of 2540341440 is about 50401.7999678583. The cubic root of 2540341440 is about 1364.4701240057.
Adding to 2540341440 its reverse (441430452), we get a palindrome (2981771892).
The spelling of 2540341440 in words is "two billion, five hundred forty million, three hundred forty-one thousand, four hundred forty".
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