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2442266440 = 2351074011423
BaseRepresentation
bin1001000110010010…
…0000011101001000
320022012112222201121
42101210200131020
520000210011230
61042202125024
7114343631215
oct22144403510
96265488647
102442266440
111043660a19
12581ab0774
132cbc96c93
14192502b0c
15e462477a
hex91920748

2442266440 has 64 divisors (see below), whose sum is σ = 5564194560. Its totient is φ = 964684800.

The previous prime is 2442266429. The next prime is 2442266467. The reversal of 2442266440 is 446622442.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2442266396 and 2442266405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715569 + ... + 1716991.

It is an arithmetic number, because the mean of its divisors is an integer number (86940540).

Almost surely, 22442266440 is an apocalyptic number.

2442266440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442266440 is an abundant number, since it is smaller than the sum of its proper divisors (3121928120).

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

2442266440 is a wasteful number, since it uses less digits than its factorization.

2442266440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The square root of 2442266440 is about 49419.2921843282. The cubic root of 2442266440 is about 1346.6798044117.

Adding to 2442266440 its reverse (446622442), we get a palindrome (2888888882).

The spelling of 2442266440 in words is "two billion, four hundred forty-two million, two hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 401 428 535 802 856 1070 1423 1604 2005 2140 2846 3208 4010 4280 5692 7115 8020 11384 14230 16040 28460 42907 56920 85814 152261 171628 214535 304522 343256 429070 570623 609044 761305 858140 1141246 1218088 1522610 1716280 2282492 2853115 3045220 4564984 5706230 6090440 11412460 22824920 61056661 122113322 244226644 305283305 488453288 610566610 1221133220 2442266440