| Base | Representation |
|---|---|
| bin | 1001000001001001… |
| … | …0101001010110000 |
| 3 | 20020201000112121021 |
| 4 | 2100102111022300 |
| 5 | 14424201140100 |
| 6 | 1040112305224 |
| 7 | 113662550353 |
| oct | 22022251260 |
| 9 | 6221015537 |
| 10 | 2420724400 |
| 11 | 1032488086 |
| 12 | 576842214 |
| 13 | 2c7693a03 |
| 14 | 18d6d629a |
| 15 | e27bba1a |
| hex | 904952b0 |
2420724400 has 60 divisors (see below), whose sum is σ = 5848453800. Its totient is φ = 962851840.
The previous prime is 2420724391. The next prime is 2420724409. The reversal of 2420724400 is 44270242.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2420724391) and next prime (2420724409).
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (2420724409) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54696 + ... + 88504.
It is an arithmetic number, because the mean of its divisors is an integer number (97474230).
Almost surely, 22420724400 is an apocalyptic number.
2420724400 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 2420724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924226900).
2420724400 is an abundant number, since it is smaller than the sum of its proper divisors (3427729400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2420724400 is a wasteful number, since it uses less digits than its factorization.
2420724400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34006 (or 33995 counting only the distinct ones).
The product of its (nonzero) digits is 3584, while the sum is 25.
The square root of 2420724400 is about 49200.8577161008. The cubic root of 2420724400 is about 1342.7086371376.
Adding to 2420724400 its reverse (44270242), we get a palindrome (2464994642).
The spelling of 2420724400 in words is "two billion, four hundred twenty million, seven hundred twenty-four thousand, four hundred".
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