| Base | Representation |
|---|---|
| bin | 1001100011010100… |
| … | …0101011000000000 |
| 3 | 20121200201100202200 |
| 4 | 2120311011120000 |
| 5 | 20222344134410 |
| 6 | 1102232313200 |
| 7 | 120353041443 |
| oct | 23065053000 |
| 9 | 6550640680 |
| 10 | 2564052480 |
| 11 | 10a6382640 |
| 12 | 5b6842800 |
| 13 | 31b297b22 |
| 14 | 1a476565a |
| 15 | 10017e3c0 |
| hex | 98d45600 |
2564052480 has 480 divisors, whose sum is σ = 9897009408. Its totient is φ = 608256000.
The previous prime is 2564052479. The next prime is 2564052481. The reversal of 2564052480 is 842504652.
It is a happy number.
2564052480 is a `hidden beast` number, since 2 + 5 + 6 + 405 + 248 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2564052479) and next prime (2564052481).
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2564052481) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16980405 + ... + 16980555.
Almost surely, 22564052480 is an apocalyptic number.
2564052480 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 2564052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948504704).
2564052480 is an abundant number, since it is smaller than the sum of its proper divisors (7332956928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2564052480 is a wasteful number, since it uses less digits than its factorization.
2564052480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 258 (or 239 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
The square root of 2564052480 is about 50636.4738108806. The cubic root of 2564052480 is about 1368.7022146325.
The spelling of 2564052480 in words is "two billion, five hundred sixty-four million, fifty-two thousand, four hundred eighty".
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