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2420466000 = 243533710903
BaseRepresentation
bin1001000001000101…
…0110000101010000
320020200112102010220
42100101112011100
514424114403000
61040102553040
7113660423121
oct22021260520
96220472126
102420466000
111032320a27
12576738780
132c7603204
1418d66a048
15e276a1a0
hex90456150

2420466000 has 160 divisors (see below), whose sum is σ = 8015225088. Its totient is φ = 627955200.

The previous prime is 2420465987. The next prime is 2420466007. The reversal of 2420466000 is 6640242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420466007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216549 + ... + 227451.

Almost surely, 22420466000 is an apocalyptic number.

2420466000 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 2420466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007612544).

2420466000 is an abundant number, since it is smaller than the sum of its proper divisors (5594759088).

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

2420466000 is a wasteful number, since it uses less digits than its factorization.

2420466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10966 (or 10950 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2420466000 is about 49198.2316755389. The cubic root of 2420466000 is about 1342.6608596682.

The spelling of 2420466000 in words is "two billion, four hundred twenty million, four hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 10903 11100 13875 14800 18500 21806 22200 27750 32709 37000 43612 44400 54515 55500 65418 74000 87224 109030 111000 130836 163545 174448 218060 222000 261672 272575 327090 403411 436120 523344 545150 654180 806822 817725 872240 1090300 1210233 1308360 1362875 1613644 1635450 2017055 2180600 2420466 2616720 2725750 3227288 3270900 4034110 4088625 4361200 4840932 5451500 6051165 6454576 6541800 8068220 8177250 9681864 10085275 10903000 12102330 13083600 16136440 16354500 19363728 20170550 21806000 24204660 30255825 32272880 32709000 40341100 48409320 50426375 60511650 65418000 80682200 96818640 100852750 121023300 151279125 161364400 201705500 242046600 302558250 403411000 484093200 605116500 806822000 1210233000 2420466000