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2440424420 = 2257450821
BaseRepresentation
bin1001000101110101…
…1110101111100100
320022002002101221122
42101131132233210
514444222040140
61042054433112
7114322160000
oct22135365744
96262071848
102440424420
111042612a95
12581362798
132cb7a0725
14192183700
15e43adab5
hex9175ebe4

2440424420 has 60 divisors (see below), whose sum is σ = 5978801724. Its totient is φ = 836700480.

The previous prime is 2440424359. The next prime is 2440424431. The reversal of 2440424420 is 244240442.

It can be written as a sum of positive squares in 2 ways, for example, as 1825681984 + 614742436 = 42728^2 + 24794^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2440424420.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22610 + ... + 73430.

Almost surely, 22440424420 is an apocalyptic number.

2440424420 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 2440424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989400862).

2440424420 is an abundant number, since it is smaller than the sum of its proper divisors (3538377304).

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

2440424420 is an equidigital number, since it uses as much as digits as its factorization.

2440424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50858 (or 50835 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 2440424420 is about 49400.6520199886. The cubic root of 2440424420 is about 1346.3411524392.

Adding to 2440424420 its reverse (244240442), we get a palindrome (2684664862).

The spelling of 2440424420 in words is "two billion, four hundred forty million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 6860 9604 12005 24010 48020 50821 101642 203284 254105 355747 508210 711494 1016420 1422988 1778735 2490229 3557470 4980458 7114940 9960916 12451145 17431603 24902290 34863206 49804580 69726412 87158015 122021221 174316030 244042442 348632060 488084884 610106105 1220212210 2440424420