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2042430456 = 2331117571797
BaseRepresentation
bin111100110111101…
…0000001111111000
312021100012012212110
41321233100033320
513140330233311
6534400212320
7101420241513
oct17157201770
95240165773
102042430456
11958998260
1249000a0a0
132671b2241
14155381d7a
15be4948a6
hex79bd03f8

2042430456 has 128 divisors (see below), whose sum is σ = 5915669760. Its totient is φ = 580761600.

The previous prime is 2042430433. The next prime is 2042430461. The reversal of 2042430456 is 6540342402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2562250 + ... + 2563046.

It is an arithmetic number, because the mean of its divisors is an integer number (46216170).

Almost surely, 22042430456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042430456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

2042430456 is an abundant number, since it is smaller than the sum of its proper divisors (3873239304).

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

2042430456 is a wasteful number, since it uses less digits than its factorization.

2042430456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2042430456 is about 45193.2567536353. The cubic root of 2042430456 is about 1268.7686115480.

Adding to 2042430456 its reverse (6540342402), we get a palindrome (8582772858).

The spelling of 2042430456 in words is "two billion, forty-two million, four hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 571 748 797 1122 1142 1496 1594 1713 2244 2284 2391 3188 3426 4488 4568 4782 6281 6376 6852 8767 9564 9707 12562 13549 13704 17534 18843 19128 19414 25124 26301 27098 29121 35068 37686 38828 40647 50248 52602 54196 58242 70136 75372 77656 81294 105204 106777 108392 116484 149039 150744 162588 210408 213554 232968 298078 320331 325176 427108 447117 455087 596156 640662 854216 894234 910174 1192312 1281324 1365261 1788468 1820348 2562648 2730522 3576936 3640696 5005957 5461044 7736479 10011914 10922088 15017871 15472958 20023828 23209437 30035742 30945916 40047656 46418874 60071484 61891832 85101269 92837748 120142968 170202538 185675496 255303807 340405076 510607614 680810152 1021215228 2042430456