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2422424040 = 2335371035297
BaseRepresentation
bin1001000001100011…
…0100000111101000
320020211012220001220
42100120310013220
514430120032130
61040212542040
7114013156521
oct22030640750
96224186056
102422424040
111033439043
12577321920
132c7b3a50a
1418da19848
15e2a05410
hex906341e8

2422424040 has 128 divisors (see below), whose sum is σ = 7537570560. Its totient is φ = 622301184.

The previous prime is 2422423933. The next prime is 2422424051. The reversal of 2422424040 is 404242242.

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 2422424040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454672 + ... + 459968.

It is an arithmetic number, because the mean of its divisors is an integer number (58887270).

Almost surely, 22422424040 is an apocalyptic number.

2422424040 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 2422424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768785280).

2422424040 is an abundant number, since it is smaller than the sum of its proper divisors (5115146520).

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

2422424040 is a wasteful number, since it uses less digits than its factorization.

2422424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5447 counting only the distinct ones).

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

The square root of 2422424040 is about 49218.1271484399. The cubic root of 2422424040 is about 1343.0228113311.

Adding to 2422424040 its reverse (404242242), we get a palindrome (2826666282).

It can be divided in two parts, 24224240 and 40, that added together give a triangular number (24224280 = T6960).

The spelling of 2422424040 in words is "two billion, four hundred twenty-two million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 103 111 120 148 185 206 222 296 309 370 412 444 515 555 618 740 824 888 1030 1110 1236 1480 1545 2060 2220 2472 3090 3811 4120 4440 5297 6180 7622 10594 11433 12360 15244 15891 19055 21188 22866 26485 30488 31782 38110 42376 45732 52970 57165 63564 76220 79455 91464 105940 114330 127128 152440 158910 195989 211880 228660 317820 391978 457320 545591 587967 635640 783956 979945 1091182 1175934 1567912 1636773 1959890 2182364 2351868 2727955 2939835 3273546 3919780 4364728 4703736 5455910 5879670 6547092 7839560 8183865 10911820 11759340 13094184 16367730 20186867 21823640 23518680 32735460 40373734 60560601 65470920 80747468 100934335 121121202 161494936 201868670 242242404 302803005 403737340 484484808 605606010 807474680 1211212020 2422424040