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2440130000 = 24547113169
BaseRepresentation
bin1001000101110001…
…0110110111010000
320022001112110002012
42101130112313100
514444133130000
61042044242052
7114316522430
oct22134266720
96261473065
102440130000
111042431870
12581240328
132cb6c9709
141921082c0
15e4351735
hex91716dd0

2440130000 has 200 divisors, whose sum is σ = 7367891520. Its totient is φ = 760320000.

The previous prime is 2440129997. The next prime is 2440130027. The reversal of 2440130000 is 310442.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 768416 + ... + 771584.

Almost surely, 22440130000 is an apocalyptic number.

2440130000 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 2440130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683945760).

2440130000 is an abundant number, since it is smaller than the sum of its proper divisors (4927761520).

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

2440130000 is a wasteful number, since it uses less digits than its factorization.

2440130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2440130000 is about 49397.6720099237. The cubic root of 2440130000 is about 1346.2870080726.

Adding to 2440130000 its reverse (310442), we get a palindrome (2440440442).

The spelling of 2440130000 in words is "two billion, four hundred forty million, one hundred thirty thousand".