| Base | Representation |
|---|---|
| bin | 1001010010001010… |
| … | …0110110110100000 |
| 3 | 20102200022210112000 |
| 4 | 2110202212312200 |
| 5 | 20100434200000 |
| 6 | 1051142204000 |
| 7 | 115520333445 |
| oct | 22442466640 |
| 9 | 6380283460 |
| 10 | 2492100000 |
| 11 | 10697a8685 |
| 12 | 596723600 |
| 13 | 3093c46b0 |
| 14 | 198d959cc |
| 15 | e8bba000 |
| hex | 948a6da0 |
2492100000 has 576 divisors, whose sum is σ = 9921864960. Its totient is φ = 604800000.
The previous prime is 2492099999. The next prime is 2492100001. The reversal of 2492100000 is 12942.
It is an interprime number because it is at equal distance from previous prime (2492099999) and next prime (2492100001).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2492100001) 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 95 ways as a sum of consecutive naturals, for example, 35099965 + ... + 35100035.
It is an arithmetic number, because the mean of its divisors is an integer number (17225460).
Almost surely, 22492100000 is an apocalyptic number.
2492100000 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 2492100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960932480).
2492100000 is an abundant number, since it is smaller than the sum of its proper divisors (7429764960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2492100000 is an equidigital number, since it uses as much as digits as its factorization.
2492100000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 94 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 2492100000 is about 49920.9374911970. The cubic root of 2492100000 is about 1355.7777065320. Note that the first 4 decimals are identical.
Adding to 2492100000 its reverse (12942), we get a palindrome (2492112942).
The spelling of 2492100000 in words is "two billion, four hundred ninety-two million, one hundred thousand".
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