| Base | Representation |
|---|---|
| bin | 1001100011011001… |
| … | …1101011111000100 |
| 3 | 20121201101200211100 |
| 4 | 2120312131133010 |
| 5 | 20222442212010 |
| 6 | 1102244140100 |
| 7 | 120356103564 |
| oct | 23066353704 |
| 9 | 6551350740 |
| 10 | 2564413380 |
| 11 | 10a65a9801 |
| 12 | 5b6997630 |
| 13 | 31b393189 |
| 14 | 1a481ada4 |
| 15 | 1002012c0 |
| hex | 98d9d7c4 |
2564413380 has 72 divisors (see below), whose sum is σ = 7807572864. Its totient is φ = 681307200.
The previous prime is 2564413373. The next prime is 2564413387. The reversal of 2564413380 is 833144652.
2564413380 is a `hidden beast` number, since 2 + 5 + 644 + 1 + 3 + 3 + 8 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2564413373) and next prime (2564413387).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2564413387) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22495 + ... + 75065.
It is an arithmetic number, because the mean of its divisors is an integer number (108438512).
Almost surely, 22564413380 is an apocalyptic number.
2564413380 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 2564413380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903786432).
2564413380 is an abundant number, since it is smaller than the sum of its proper divisors (5243159484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2564413380 is a wasteful number, since it uses less digits than its factorization.
2564413380 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52857 (or 52852 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 2564413380 is about 50640.0373222611. The cubic root of 2564413380 is about 1368.7664282760.
The spelling of 2564413380 in words is "two billion, five hundred sixty-four million, four hundred thirteen thousand, three hundred eighty".
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