| Base | Representation |
|---|---|
| bin | 1000111100010100… |
| … | …1100010100000000 |
| 3 | 20012021222012010000 |
| 4 | 2033011030110000 |
| 5 | 14404012044130 |
| 6 | 1034111040000 |
| 7 | 113325640065 |
| oct | 21705142400 |
| 9 | 6167865100 |
| 10 | 2400503040 |
| 11 | 1022026511 |
| 12 | 56bb10000 |
| 13 | 2c3433900 |
| 14 | 18ab50c6c |
| 15 | e0b25260 |
| hex | 8f14c500 |
2400503040 has 540 divisors, whose sum is σ = 9368880444. Its totient is φ = 586579968.
The previous prime is 2400503029. The next prime is 2400503047. The reversal of 2400503040 is 403050042.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 394896384 + 2005606656 = 19872^2 + 44784^2 .
It is a tau number, because it is divible by the number of its divisors (540).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2400503047) 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 59 ways as a sum of consecutive naturals, for example, 17521852 + ... + 17521988.
Almost surely, 22400503040 is an apocalyptic number.
2400503040 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 2400503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684440222).
2400503040 is an abundant number, since it is smaller than the sum of its proper divisors (6968377404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2400503040 is a wasteful number, since it uses less digits than its factorization.
2400503040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 196 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 2400503040 is about 48994.9287171642. The cubic root of 2400503040 is about 1338.9594357272.
Adding to 2400503040 its reverse (403050042), we get a palindrome (2803553082).
The spelling of 2400503040 in words is "two billion, four hundred million, five hundred three thousand, forty".
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