| Base | Representation |
|---|---|
| bin | 1010001101100100… |
| … | …0010111110000000 |
| 3 | 21002001011000202200 |
| 4 | 2203121002332000 |
| 5 | 21103230030333 |
| 6 | 1132002313200 |
| 7 | 124634154150 |
| oct | 24331027600 |
| 9 | 7061130680 |
| 10 | 2741251968 |
| 11 | 11874021a4 |
| 12 | 646058800 |
| 13 | 348bcb0b0 |
| 14 | 1c00d0760 |
| 15 | 1109d2c13 |
| hex | a3642f80 |
2741251968 has 384 divisors, whose sum is σ = 9861196800. Its totient is φ = 711659520.
The previous prime is 2741251957. The next prime is 2741251969. The reversal of 2741251968 is 8691521472.
2741251968 is a `hidden beast` number, since 2 + 74 + 1 + 2 + 519 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-3 number, since 3×27412519683 (a number of 29 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2741251969) 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 47 ways as a sum of consecutive naturals, for example, 8281563 + ... + 8281893.
It is an arithmetic number, because the mean of its divisors is an integer number (25680200).
Almost surely, 22741251968 is an apocalyptic number.
2741251968 is a gapful number since it is divisible by the number (28) 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 2741251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930598400).
2741251968 is an abundant number, since it is smaller than the sum of its proper divisors (7119944832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2741251968 is a wasteful number, since it uses less digits than its factorization.
2741251968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 450 (or 435 counting only the distinct ones).
The product of its digits is 241920, while the sum is 45.
The square root of 2741251968 is about 52356.9667570611. The cubic root of 2741251968 is about 1399.5324915192.
The spelling of 2741251968 in words is "two billion, seven hundred forty-one million, two hundred fifty-one thousand, nine hundred sixty-eight".
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