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2042283040 = 25577324979
BaseRepresentation
bin111100110111010…
…1100010000100000
312021022220201122121
41321232230100200
513140311024130
6534353114024
7101416055650
oct17156542040
95238821577
102042283040
119588a7526
1248bb58914
13267160105
14155344360
15be465d7a
hex79bac420

2042283040 has 96 divisors (see below), whose sum is σ = 5589924480. Its totient is φ = 690591744.

The previous prime is 2042283031. The next prime is 2042283041. The reversal of 2042283040 is 403822402.

It is a junction number, because it is equal to n+sod(n) for n = 2042282996 and 2042283014.

It is not an unprimeable number, because it can be changed into a prime (2042283041) 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, 69271 + ... + 94249.

It is an arithmetic number, because the mean of its divisors is an integer number (58228380).

Almost surely, 22042283040 is an apocalyptic number.

2042283040 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 2042283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794962240).

2042283040 is an abundant number, since it is smaller than the sum of its proper divisors (3547641440).

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

2042283040 is a wasteful number, since it uses less digits than its factorization.

2042283040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25074 (or 25066 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2042283040 is about 45191.6257729239. The cubic root of 2042283040 is about 1268.7380856137.

The spelling of 2042283040 in words is "two billion, forty-two million, two hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 511 560 584 730 1022 1120 1168 1460 2044 2336 2555 2920 4088 5110 5840 8176 10220 11680 16352 20440 24979 40880 49958 81760 99916 124895 174853 199832 249790 349706 399664 499580 699412 799328 874265 999160 1398824 1748530 1823467 1998320 2797648 3497060 3646934 3996640 5595296 6994120 7293868 9117335 12764269 13988240 14587736 18234670 25528538 27976480 29175472 36469340 51057076 58350944 63821345 72938680 102114152 127642690 145877360 204228304 255285380 291754720 408456608 510570760 1021141520 2042283040