| Base | Representation |
|---|---|
| bin | 111111011111011… |
| … | …0101110001100000 |
| 3 | 12111110201122200121 |
| 4 | 1332332311301200 |
| 5 | 13330340334100 |
| 6 | 551221530024 |
| 7 | 103536056500 |
| oct | 17676656140 |
| 9 | 5443648617 |
| 10 | 2130402400 |
| 11 | 9a3613945 |
| 12 | 4b5573914 |
| 13 | 27c4a4049 |
| 14 | 162d21a00 |
| 15 | c707051a |
| hex | 7efb5c60 |
2130402400 has 108 divisors (see below), whose sum is σ = 6050073708. Its totient is φ = 730410240.
The previous prime is 2130402377. The next prime is 2130402403. The reversal of 2130402400 is 42040312.
It is a super-2 number, since 2×21304024002 = 9077228771851520000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2130402403) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12027 + ... + 66373.
It is an arithmetic number, because the mean of its divisors is an integer number (56019201).
Almost surely, 22130402400 is an apocalyptic number.
2130402400 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 2130402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025036854).
2130402400 is an abundant number, since it is smaller than the sum of its proper divisors (3919671308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130402400 is a wasteful number, since it uses less digits than its factorization.
2130402400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54381 (or 54361 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 2130402400 is about 46156.2823459602. The cubic root of 2130402400 is about 1286.7293707379.
Adding to 2130402400 its reverse (42040312), we get a palindrome (2172442712).
The spelling of 2130402400 in words is "two billion, one hundred thirty million, four hundred two thousand, four hundred".
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