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2430504420 = 223547861881
BaseRepresentation
bin1001000011011110…
…1000110111100100
320021101102102021020
42100313220313210
514434202120140
61041102051140
7114141642501
oct22067506744
96241372236
102430504420
111037a57a43
12579b79ab0
132c97093c6
14190b204a8
15e359e6d0
hex90de8de4

2430504420 has 48 divisors (see below), whose sum is σ = 6950216448. Its totient is φ = 634343680.

The previous prime is 2430504407. The next prime is 2430504431. The reversal of 2430504420 is 244050342.

2430504420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428121 + ... + 433760.

It is an arithmetic number, because the mean of its divisors is an integer number (144796176).

Almost surely, 22430504420 is an apocalyptic number.

2430504420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430504420 is an abundant number, since it is smaller than the sum of its proper divisors (4519712028).

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

2430504420 is a wasteful number, since it uses less digits than its factorization.

2430504420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861940 (or 861938 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2430504420 is about 49300.1462472476. The cubic root of 2430504420 is about 1344.5144426415.

Adding to 2430504420 its reverse (244050342), we get a palindrome (2674554762).

The spelling of 2430504420 in words is "two billion, four hundred thirty million, five hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 861881 1723762 2585643 3447524 4309405 5171286 8618810 10342572 12928215 17237620 25856430 40508407 51712860 81016814 121525221 162033628 202542035 243050442 405084070 486100884 607626105 810168140 1215252210 2430504420