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2042401240 = 2351118772473
BaseRepresentation
bin111100110111100…
…1001000111011000
312021100010201210101
41321233021013120
513140323314430
6534355425144
7101420060365
oct17157110730
95240121711
102042401240
11958978310
1248bbb51b4
132671a1b59
1415537546c
15be48adca
hex79bc91d8

2042401240 has 64 divisors (see below), whose sum is σ = 5017865760. Its totient is φ = 741995520.

The previous prime is 2042401187. The next prime is 2042401261. The reversal of 2042401240 is 421042402.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 824644 + ... + 827116.

Almost surely, 22042401240 is an apocalyptic number.

2042401240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042401240 is an abundant number, since it is smaller than the sum of its proper divisors (2975464520).

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

2042401240 is a wasteful number, since it uses less digits than its factorization.

2042401240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2042401240 is about 45192.9335184163. The cubic root of 2042401240 is about 1268.7625618079.

Adding to 2042401240 its reverse (421042402), we get a palindrome (2463443642).

The spelling of 2042401240 in words is "two billion, forty-two million, four hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1877 2473 3754 4946 7508 9385 9892 12365 15016 18770 19784 20647 24730 27203 37540 41294 49460 54406 75080 82588 98920 103235 108812 136015 165176 206470 217624 272030 412940 544060 825880 1088120 4641821 9283642 18567284 23209105 37134568 46418210 51060031 92836420 102120062 185672840 204240124 255300155 408480248 510600310 1021200620 2042401240