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2042473360 = 245472272393
BaseRepresentation
bin111100110111101…
…1010101110010000
312021100021101201111
41321233122232100
513140333121420
6534401143104
7101420510554
oct17157325620
95240241644
102042473360
11958a17514
1249002aa94
132671c8925
14155393864
15be4a245a
hex79bdab90

2042473360 has 80 divisors (see below), whose sum is σ = 4873188096. Its totient is φ = 795751424.

The previous prime is 2042473331. The next prime is 2042473361. The reversal of 2042473360 is 633742402.

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

It is not an unprimeable number, because it can be changed into a prime (2042473361) 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, 852324 + ... + 854716.

Almost surely, 22042473360 is an apocalyptic number.

2042473360 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 2042473360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436594048).

2042473360 is an abundant number, since it is smaller than the sum of its proper divisors (2830714736).

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

2042473360 is a wasteful number, since it uses less digits than its factorization.

2042473360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 2042473360 is about 45193.7314237273. The cubic root of 2042473360 is about 1268.7774955498. Note that the first 3 decimals are identical.

The spelling of 2042473360 in words is "two billion, forty-two million, four hundred seventy-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 227 235 376 454 470 752 908 940 1135 1816 1880 2270 2393 3632 3760 4540 4786 9080 9572 10669 11965 18160 19144 21338 23930 38288 42676 47860 53345 85352 95720 106690 112471 170704 191440 213380 224942 426760 449884 543211 562355 853520 899768 1086422 1124710 1799536 2172844 2249420 2716055 4345688 4498840 5432110 8691376 8997680 10864220 21728440 25530917 43456880 51061834 102123668 127654585 204247336 255309170 408494672 510618340 1021236680 2042473360