| Base | Representation |
|---|---|
| bin | 111111001100010… |
| … | …1100110000100000 |
| 3 | 12110202220200110111 |
| 4 | 1332120230300200 |
| 5 | 13320310412000 |
| 6 | 550223341104 |
| 7 | 103355064601 |
| oct | 17630546040 |
| 9 | 5422820414 |
| 10 | 2120404000 |
| 11 | 998a04a00 |
| 12 | 4b2151794 |
| 13 | 27a3b3130 |
| 14 | 16187bda8 |
| 15 | c6247cba |
| hex | 7e62cc20 |
2120404000 has 288 divisors, whose sum is σ = 6185310768. Its totient is φ = 709632000.
The previous prime is 2120403997. The next prime is 2120404001. The reversal of 2120404000 is 4040212.
2120404000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 38489616 + 2081914384 = 6204^2 + 45628^2 .
It is a super-2 number, since 2×21204040002 = 8992226246432000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is not an unprimeable number, because it can be changed into a prime (2120404001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6291832 + ... + 6292168.
Almost surely, 22120404000 is an apocalyptic number.
2120404000 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 2120404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092655384).
2120404000 is an abundant number, since it is smaller than the sum of its proper divisors (4064906768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2120404000 is a wasteful number, since it uses less digits than its factorization.
2120404000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 397 (or 368 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
The square root of 2120404000 is about 46047.8446835463. The cubic root of 2120404000 is about 1284.7132549178.
Adding to 2120404000 its reverse (4040212), we get a palindrome (2124444212).
The spelling of 2120404000 in words is "two billion, one hundred twenty million, four hundred four thousand".
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