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2442023040 = 27351817027
BaseRepresentation
bin1001000110001110…
…0101000010000000
320022012002121211210
42101203211002000
520000124214130
61042153010120
7114341565462
oct22143450200
96265077753
102442023040
111043505066
125819b3940
132cbc10262
1419247c132
15e45c75b0
hex918e5080

2442023040 has 128 divisors (see below), whose sum is σ = 7828067520. Its totient is φ = 647516160.

The previous prime is 2442023011. The next prime is 2442023053. The reversal of 2442023040 is 403202442.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2442022998 and 2442023016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344007 + ... + 351033.

Almost surely, 22442023040 is an apocalyptic number.

2442023040 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 2442023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914033760).

2442023040 is an abundant number, since it is smaller than the sum of its proper divisors (5386044480).

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

2442023040 is a wasteful number, since it uses less digits than its factorization.

2442023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7230 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2442023040 is about 49416.8295219351. The cubic root of 2442023040 is about 1346.6350655374.

Adding to 2442023040 its reverse (403202442), we get a palindrome (2845225482).

The spelling of 2442023040 in words is "two billion, four hundred forty-two million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 181 192 240 320 362 384 480 543 640 724 905 960 1086 1448 1810 1920 2172 2715 2896 3620 4344 5430 5792 7027 7240 8688 10860 11584 14054 14480 17376 21081 21720 23168 28108 28960 34752 35135 42162 43440 56216 57920 69504 70270 84324 86880 105405 112432 115840 140540 168648 173760 210810 224864 281080 337296 347520 421620 449728 562160 674592 843240 899456 1124320 1271887 1349184 1686480 2248640 2543774 2698368 3372960 3815661 4497280 5087548 6359435 6745920 7631322 10175096 12718870 13491840 15262644 19078305 20350192 25437740 30525288 38156610 40700384 50875480 61050576 76313220 81400768 101750960 122101152 152626440 162801536 203501920 244202304 305252880 407003840 488404608 610505760 814007680 1221011520 2442023040