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2442044440 = 235111491932
BaseRepresentation
bin1001000110001110…
…1010010000011000
320022012010201012101
42101203222100120
520000130410230
61042153253144
7114342015043
oct22143522030
96265121171
102442044440
11104351a150
12581a041b4
132cbc19c14
14192485c5a
15e45cdaca
hex918ea418

2442044440 has 96 divisors (see below), whose sum is σ = 6065766000. Its totient is φ = 877486080.

The previous prime is 2442044413. The next prime is 2442044453. The reversal of 2442044440 is 444402442.

It is a junction number, because it is equal to n+sod(n) for n = 2442044399 and 2442044408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12652984 + ... + 12653176.

Almost surely, 22442044440 is an apocalyptic number.

2442044440 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 2442044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032883000).

2442044440 is an abundant number, since it is smaller than the sum of its proper divisors (3623721560).

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

2442044440 is a wasteful number, since it uses less digits than its factorization.

2442044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 2442044440 is about 49417.0460468855. The cubic root of 2442044440 is about 1346.6389991484.

Adding to 2442044440 its reverse (444402442), we get a palindrome (2886446882).

The spelling of 2442044440 in words is "two billion, four hundred forty-two million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 149 193 220 298 386 440 596 745 772 965 1192 1490 1544 1639 1930 2123 2980 3278 3860 4246 5960 6556 7720 8195 8492 10615 13112 16390 16984 21230 28757 32780 37249 42460 57514 65560 74498 84920 115028 143785 148996 186245 230056 287570 297992 316327 372490 409739 575140 632654 744980 819478 1150280 1265308 1489960 1581635 1638956 2048695 2530616 3163270 3277912 4097390 5550101 6326540 8194780 11100202 12653080 16389560 22200404 27750505 44400808 55501010 61051111 111002020 122102222 222004040 244204444 305255555 488408888 610511110 1221022220 2442044440