| Base | Representation |
|---|---|
| bin | 1001011110001011… |
| … | …1101000000100000 |
| 3 | 20120012012112001022 |
| 4 | 2113202331000200 |
| 5 | 20201341204100 |
| 6 | 1100143025012 |
| 7 | 120002040515 |
| oct | 22742750040 |
| 9 | 6505175038 |
| 10 | 2542522400 |
| 11 | 1095207790 |
| 12 | 5ab59b168 |
| 13 | 31699a132 |
| 14 | 1a195d30c |
| 15 | ed329e85 |
| hex | 978bd020 |
2542522400 has 216 divisors, whose sum is σ = 6970897584. Its totient is φ = 897932800.
The previous prime is 2542522379. The next prime is 2542522403. The reversal of 2542522400 is 42252452.
It is a self number, because there is not a number n which added to its sum of digits gives 2542522400.
It is not an unprimeable number, because it can be changed into a prime (2542522403) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 30632759 + ... + 30632841.
It is an arithmetic number, because the mean of its divisors is an integer number (32272674).
Almost surely, 22542522400 is an apocalyptic number.
2542522400 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 2542522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485448792).
2542522400 is an abundant number, since it is smaller than the sum of its proper divisors (4428375184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2542522400 is a wasteful number, since it uses less digits than its factorization.
2542522400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 6400, while the sum is 26.
The square root of 2542522400 is about 50423.4310613627. The cubic root of 2542522400 is about 1364.8604919434.
Adding to 2542522400 its reverse (42252452), we get a palindrome (2584774852).
It can be divided in two parts, 254252 and 2400, that added together give a palindrome (256652).
The spelling of 2542522400 in words is "two billion, five hundred forty-two million, five hundred twenty-two thousand, four hundred".
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