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2420424240 = 243513775777
BaseRepresentation
bin1001000001000100…
…1011111000110000
320020200110021212020
42100101023320300
514424112033430
61040102031440
7113660160303
oct22021137060
96220407766
102420424240
1110322a2613
12576718580
132c75ba1c0
1418d658b3a
15e275cb10
hex9044be30

2420424240 has 80 divisors (see below), whose sum is σ = 8080503648. Its totient is φ = 595795968.

The previous prime is 2420424239. The next prime is 2420424263. The reversal of 2420424240 is 424240242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2420424240.

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, 384769 + ... + 391008.

Almost surely, 22420424240 is an apocalyptic number.

2420424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420424240 is an abundant number, since it is smaller than the sum of its proper divisors (5660079408).

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

2420424240 is a wasteful number, since it uses less digits than its factorization.

2420424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775806 (or 775800 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2420424240 is about 49197.8072682106. The cubic root of 2420424240 is about 1342.6531380366.

Adding to 2420424240 its reverse (424240242), we get a palindrome (2844664482).

The spelling of 2420424240 in words is "two billion, four hundred twenty million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 775777 1551554 2327331 3103108 3878885 4654662 6206216 7757770 9309324 10085101 11636655 12412432 15515540 18618648 20170202 23273310 30255303 31031080 37237296 40340404 46546620 50425505 60510606 62062160 80680808 93093240 100851010 121021212 151276515 161361616 186186480 201702020 242042424 302553030 403404040 484084848 605106060 806808080 1210212120 2420424240