| Base | Representation |
|---|---|
| bin | 1000111100100100… |
| … | …1001011110110100 |
| 3 | 20012100220212120200 |
| 4 | 2033021021132310 |
| 5 | 14404243240040 |
| 6 | 1034145200500 |
| 7 | 113340516255 |
| oct | 21711113664 |
| 9 | 6170825520 |
| 10 | 2401540020 |
| 11 | 1022674620 |
| 12 | 570330130 |
| 13 | 2c37078c9 |
| 14 | 18ad40b2c |
| 15 | e0c7c630 |
| hex | 8f2497b4 |
2401540020 has 144 divisors (see below), whose sum is σ = 8414497728. Its totient is φ = 547937280.
The previous prime is 2401540013. The next prime is 2401540061. The reversal of 2401540020 is 200451042.
2401540020 is a `hidden beast` number, since 240 + 1 + 5 + 400 + 20 = 666.
2401540020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2401539975 and 2401540002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014 + ... + 69333.
It is an arithmetic number, because the mean of its divisors is an integer number (58434012).
Almost surely, 22401540020 is an apocalyptic number.
2401540020 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 2401540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207248864).
2401540020 is an abundant number, since it is smaller than the sum of its proper divisors (6012957708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2401540020 is a wasteful number, since it uses less digits than its factorization.
2401540020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 71390 (or 71385 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 2401540020 is about 49005.5100983553. The cubic root of 2401540020 is about 1339.1522111924.
Adding to 2401540020 its reverse (200451042), we get a palindrome (2601991062).
The spelling of 2401540020 in words is "two billion, four hundred one million, five hundred forty thousand, twenty".
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