| Base | Representation |
|---|---|
| bin | 1011000100110010… |
| … | …1011001010100000 |
| 3 | 21200012000110002011 |
| 4 | 2301030223022200 |
| 5 | 22042024433020 |
| 6 | 1210555202304 |
| 7 | 133446101041 |
| oct | 26114531240 |
| 9 | 7605013064 |
| 10 | 2972889760 |
| 11 | 1296134095 |
| 12 | 6ab746394 |
| 13 | 384bb1989 |
| 14 | 202b8a8c8 |
| 15 | 125edb35a |
| hex | b132b2a0 |
2972889760 has 96 divisors (see below), whose sum is σ = 7292799360. Its totient is φ = 1143862272.
The previous prime is 2972889749. The next prime is 2972889769. The reversal of 2972889760 is 679882792.
It is a super-2 number, since 2×29728897602 = 17676147050225715200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (58).
It is a junction number, because it is equal to n+sod(n) for n = 2972889695 and 2972889704.
It is not an unprimeable number, because it can be changed into a prime (2972889769) 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 15 ways as a sum of consecutive naturals, for example, 1423437 + ... + 1425523.
It is an arithmetic number, because the mean of its divisors is an integer number (75966660).
Almost surely, 22972889760 is an apocalyptic number.
2972889760 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 2972889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646399680).
2972889760 is an abundant number, since it is smaller than the sum of its proper divisors (4319909600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2972889760 is a wasteful number, since it uses less digits than its factorization.
2972889760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2438 (or 2430 counting only the distinct ones).
The product of its (nonzero) digits is 6096384, while the sum is 58.
The square root of 2972889760 is about 54524.2126032096. The cubic root of 2972889760 is about 1437.8920030856.
The spelling of 2972889760 in words is "two billion, nine hundred seventy-two million, eight hundred eighty-nine thousand, seven hundred sixty".
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