| Base | Representation |
|---|---|
| bin | 1001010101011000… |
| … | …0111111000100000 |
| 3 | 20110121201220101212 |
| 4 | 2111112013320200 |
| 5 | 20112413322030 |
| 6 | 1052343445252 |
| 7 | 116043200540 |
| oct | 22526077040 |
| 9 | 6417656355 |
| 10 | 2505604640 |
| 11 | 1076391940 |
| 12 | 59b156828 |
| 13 | 30c1424c6 |
| 14 | 19aaad320 |
| 15 | e9e86595 |
| hex | 95587e20 |
2505604640 has 192 divisors, whose sum is σ = 7635720960. Its totient is φ = 753930240.
The previous prime is 2505604603. The next prime is 2505604649. The reversal of 2505604640 is 464065052.
It is a super-2 number, since 2×25056046402 = 12556109223979059200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 2505604597 and 2505604606.
It is not an unprimeable number, because it can be changed into a prime (2505604649) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353774 + ... + 360786.
It is an arithmetic number, because the mean of its divisors is an integer number (39769380).
Almost surely, 22505604640 is an apocalyptic number.
2505604640 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 2505604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817860480).
2505604640 is an abundant number, since it is smaller than the sum of its proper divisors (5130116320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2505604640 is a wasteful number, since it uses less digits than its factorization.
2505604640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7075 (or 7067 counting only the distinct ones).
The product of its (nonzero) digits is 28800, while the sum is 32.
The square root of 2505604640 is about 50056.0150231718. The cubic root of 2505604640 is about 1358.2222735633. Note that the first 4 decimals are identical.
Adding to 2505604640 its reverse (464065052), we get a palindrome (2969669692).
The spelling of 2505604640 in words is "two billion, five hundred five million, six hundred four thousand, six hundred forty".
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