| Base | Representation |
|---|---|
| bin | 1001110101111111… |
| … | …1101100010100000 |
| 3 | 20211011010220100000 |
| 4 | 2131133331202200 |
| 5 | 20402423321230 |
| 6 | 1114111500000 |
| 7 | 122324020200 |
| oct | 23537754240 |
| 9 | 6734126300 |
| 10 | 2642401440 |
| 11 | 1136626348 |
| 12 | 618b27600 |
| 13 | 33159a863 |
| 14 | 1b0d1c400 |
| 15 | 106ea8b60 |
| hex | 9d7fd8a0 |
2642401440 has 864 divisors, whose sum is σ = 11607261120. Its totient is φ = 564350976.
The previous prime is 2642401423. The next prime is 2642401457. The reversal of 2642401440 is 441042462.
It is a happy number.
2642401440 is a `hidden beast` number, since 2 + 642 + 4 + 0 + 14 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2642401423) and next prime (2642401457).
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×26424014402 = 13964570740228147200, which contains 22 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36197244 + ... + 36197316.
It is an arithmetic number, because the mean of its divisors is an integer number (13434330).
Almost surely, 22642401440 is an apocalyptic number.
2642401440 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 2642401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803630560).
2642401440 is an abundant number, since it is smaller than the sum of its proper divisors (8964859680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2642401440 is a wasteful number, since it uses less digits than its factorization.
2642401440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 136 (or 109 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 2642401440 is about 51404.2939840632. The cubic root of 2642401440 is about 1382.5035838181.
The spelling of 2642401440 in words is "two billion, six hundred forty-two million, four hundred one thousand, four hundred forty".
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