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2441020120 = 2357112109661
BaseRepresentation
bin1001000101111111…
…0000001011011000
320022010012200002121
42101133300023120
514444400120440
61042115311024
7114330220510
oct22137601330
96263180077
102441020120
11104298a600
125815ab474
132cb94b906
1419229a840
15e447a34a
hex917f02d8

2441020120 has 192 divisors, whose sum is σ = 6973243200. Its totient is φ = 752716800.

The previous prime is 2441020093. The next prime is 2441020121. The reversal of 2441020120 is 210201442.

It is a super-3 number, since 3×24410201203 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2441020094 and 2441020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441020121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3692590 + ... + 3693250.

It is an arithmetic number, because the mean of its divisors is an integer number (36318975).

Almost surely, 22441020120 is an apocalyptic number.

2441020120 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 2441020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486621600).

2441020120 is an abundant number, since it is smaller than the sum of its proper divisors (4532223080).

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

2441020120 is a wasteful number, since it uses less digits than its factorization.

2441020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2441020120 is about 49406.6809247494. The cubic root of 2441020120 is about 1346.4506894212.

Adding to 2441020120 its reverse (210201442), we get a palindrome (2651221562).

The spelling of 2441020120 in words is "two billion, four hundred forty-one million, twenty thousand, one hundred twenty".