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2042245040 = 2451110212273
BaseRepresentation
bin111100110111010…
…0010111110110000
312021022211210112012
41321232202332300
513140303320130
6534352222052
7101415540113
oct17156427660
95238753465
102042245040
11958880a20
1248bb3a928
13267148a24
1415533457a
15be459995
hex79ba2fb0

2042245040 has 80 divisors (see below), whose sum is σ = 5187230496. Its totient is φ = 741580800.

The previous prime is 2042245033. The next prime is 2042245043. The reversal of 2042245040 is 405422402.

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

It is a junction number, because it is equal to n+sod(n) for n = 2042244997 and 2042245015.

It is not an unprimeable number, because it can be changed into a prime (2042245043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897344 + ... + 899616.

Almost surely, 22042245040 is an apocalyptic number.

2042245040 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 2042245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593615248).

2042245040 is an abundant number, since it is smaller than the sum of its proper divisors (3144985456).

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

2042245040 is a wasteful number, since it uses less digits than its factorization.

2042245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 2042245040 is about 45191.2053390923. The cubic root of 2042245040 is about 1268.7302165859.

Adding to 2042245040 its reverse (405422402), we get a palindrome (2447667442).

The spelling of 2042245040 in words is "two billion, forty-two million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1021 2042 2273 4084 4546 5105 8168 9092 10210 11231 11365 16336 18184 20420 22462 22730 25003 36368 40840 44924 45460 50006 56155 81680 89848 90920 100012 112310 125015 179696 181840 200024 224620 250030 400048 449240 500060 898480 1000120 2000240 2320733 4641466 9282932 11603665 18565864 23207330 25528063 37131728 46414660 51056126 92829320 102112252 127640315 185658640 204224504 255280630 408449008 510561260 1021122520 2042245040