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2010258240 = 26353122179
BaseRepresentation
bin111011111010010…
…0001101101000000
312012002122200212220
41313310201231000
513104111230430
6531250451040
7100546625124
oct16764415500
95162580786
102010258240
11941813851
12481293a80
13260629623
14150da9584
15bb73c110
hex77d21b40

2010258240 has 168 divisors, whose sum is σ = 6598127520. Its totient is φ = 518538240.

The previous prime is 2010258203. The next prime is 2010258241. The reversal of 2010258240 is 428520102.

It is a super-2 number, since 2×20102582402 = 8082276382975795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2010258240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010258241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921471 + ... + 923649.

Almost surely, 22010258240 is an apocalyptic number.

2010258240 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 2010258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299063760).

2010258240 is an abundant number, since it is smaller than the sum of its proper divisors (4587869280).

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

2010258240 is a wasteful number, since it uses less digits than its factorization.

2010258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2010258240 is about 44835.9034703216. The cubic root of 2010258240 is about 1262.0714729007.

Adding to 2010258240 its reverse (428520102), we get a palindrome (2438778342).

The spelling of 2010258240 in words is "two billion, ten million, two hundred fifty-eight thousand, two hundred forty".