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2042865440 = 255711165817
BaseRepresentation
bin111100111000011…
…1010011100100000
312021101000022112222
41321300322130200
513140433143230
6534413410212
7101424032630
oct17160723440
95241008488
102042865440
11959165050
12490199968
13267305225
141554566c0
15be52d6e5
hex79c3a720

2042865440 has 96 divisors (see below), whose sum is σ = 6017203584. Its totient is φ = 636733440.

The previous prime is 2042865439. The next prime is 2042865449. The reversal of 2042865440 is 445682402.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2042865440.

It is not an unprimeable number, because it can be changed into a prime (2042865449) 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, 70589 + ... + 95228.

It is an arithmetic number, because the mean of its divisors is an integer number (62679204).

Almost surely, 22042865440 is an apocalyptic number.

2042865440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042865440 is an abundant number, since it is smaller than the sum of its proper divisors (3974338144).

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

2042865440 is a wasteful number, since it uses less digits than its factorization.

2042865440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165850 (or 165842 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 2042865440 is about 45198.0689853007. The cubic root of 2042865440 is about 1268.8586766090.

The spelling of 2042865440 in words is "two billion, forty-two million, eight hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 165817 331634 663268 829085 1160719 1326536 1658170 1823987 2321438 2653072 3316340 3647974 4642876 5306144 5803595 6632680 7295948 9119935 9285752 11607190 12767909 13265360 14591896 18239870 18571504 23214380 25535818 26530720 29183792 36479740 37143008 46428760 51071636 58367584 63839545 72959480 92857520 102143272 127679090 145918960 185715040 204286544 255358180 291837920 408573088 510716360 1021432720 2042865440