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2042512240 = 245231110061
BaseRepresentation
bin111100110111110…
…0100001101110000
312021100100101001111
41321233210031300
513140340342430
6534402043104
7101421032116
oct17157441560
95240311044
102042512240
11958a4374a
12490049494
13267210532
141553a3ab6
15be4adc2a
hex79be4370

2042512240 has 40 divisors (see below), whose sum is σ = 4955316768. Its totient is φ = 781482240.

The previous prime is 2042512231. The next prime is 2042512247. The reversal of 2042512240 is 422152402.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×20425122403 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042512247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553191 + ... + 556870.

Almost surely, 22042512240 is an apocalyptic number.

2042512240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042512240 is an abundant number, since it is smaller than the sum of its proper divisors (2912804528).

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

2042512240 is a wasteful number, since it uses less digits than its factorization.

2042512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110097 (or 1110091 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2042512240 is about 45194.1615698311. The cubic root of 2042512240 is about 1268.7855462066.

Adding to 2042512240 its reverse (422152402), we get a palindrome (2464664642).

The spelling of 2042512240 in words is "two billion, forty-two million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 1110061 2220122 4440244 5550305 8880488 11100610 17760976 22201220 25531403 44402440 51062806 88804880 102125612 127657015 204251224 255314030 408502448 510628060 1021256120 2042512240