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2442024040 = 235678771039
BaseRepresentation
bin1001000110001110…
…0101010001101000
320022012002200012211
42101203211101220
520000124232130
61042153014504
7114341601421
oct22143452150
96265080184
102442024040
111043505895
125819b4434
132cbc10851
1419247c648
15e45c7a2a
hex918e5468

2442024040 has 64 divisors (see below), whose sum is σ = 5588294400. Its totient is φ = 960208128.

The previous prime is 2442023999. The next prime is 2442024043. The reversal of 2442024040 is 404202442.

It is not an unprimeable number, because it can be changed into a prime (2442024043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2349841 + ... + 2350879.

It is an arithmetic number, because the mean of its divisors is an integer number (87317100).

Almost surely, 22442024040 is an apocalyptic number.

2442024040 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 2442024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794147200).

2442024040 is an abundant number, since it is smaller than the sum of its proper divisors (3146270360).

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

2442024040 is a wasteful number, since it uses less digits than its factorization.

2442024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2442024040 is about 49416.8396399446. The cubic root of 2442024040 is about 1346.6352493515.

Adding to 2442024040 its reverse (404202442), we get a palindrome (2846226482).

The spelling of 2442024040 in words is "two billion, four hundred forty-two million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 877 1039 1340 1754 2078 2680 3508 4156 4385 5195 7016 8312 8770 10390 17540 20780 35080 41560 58759 69613 117518 139226 235036 278452 293795 348065 470072 556904 587590 696130 911203 1175180 1392260 1822406 2350360 2784520 3644812 4556015 7289624 9112030 18224060 36448120 61050601 122101202 244202404 305253005 488404808 610506010 1221012020 2442024040