Search a number
-
+
2001425440 = 255747193197
BaseRepresentation
bin111011101001011…
…0101010000100000
312011111000221120011
41313102311100200
513044331103230
6530333254304
7100411556410
oct16722652040
95144027504
102001425440
11937830613
1247a334394
1325b856111
1414db4a640
15baa94e2a
hex774b5420

2001425440 has 192 divisors, whose sum is σ = 5575578624. Its totient is φ = 664731648.

The previous prime is 2001425429. The next prime is 2001425449. The reversal of 2001425440 is 445241002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2001425449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10159422 + ... + 10159618.

It is an arithmetic number, because the mean of its divisors is an integer number (29039472).

Almost surely, 22001425440 is an apocalyptic number.

2001425440 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 2001425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787789312).

2001425440 is an abundant number, since it is smaller than the sum of its proper divisors (3574153184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001425440 is a wasteful number, since it uses less digits than its factorization.

2001425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2001425440 is about 44737.2936150590. The cubic root of 2001425440 is about 1260.2203024553.

Adding to 2001425440 its reverse (445241002), we get a palindrome (2446666442).

It can be divided in two parts, 20014 and 25440, that added together give a palindrome (45454).

The spelling of 2001425440 in words is "two billion, one million, four hundred twenty-five thousand, four hundred forty".