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2119909344 = 253721923719
BaseRepresentation
bin111111001011011…
…0011111111100000
312110201222112220220
41332112303333200
513320144044334
6550205003040
7103350634500
oct17626637740
95421875826
102119909344
119986a72a3
124b1b53480
1327a26bc37
1416178da00
15c619b449
hex7e5b3fe0

2119909344 has 144 divisors (see below), whose sum is σ = 6814281600. Its totient is φ = 573785856.

The previous prime is 2119909321. The next prime is 2119909349. The reversal of 2119909344 is 4439099112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2119909296 and 2119909305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119909349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77517 + ... + 101235.

It is an arithmetic number, because the mean of its divisors is an integer number (47321400).

Almost surely, 22119909344 is an apocalyptic number.

2119909344 is a gapful number since it is divisible by the number (24) 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 2119909344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407140800).

2119909344 is an abundant number, since it is smaller than the sum of its proper divisors (4694372256).

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

2119909344 is a wasteful number, since it uses less digits than its factorization.

2119909344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23765 (or 23750 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 2119909344 is about 46042.4732611097. The cubic root of 2119909344 is about 1284.6133461987.

The spelling of 2119909344 in words is "two billion, one hundred nineteen million, nine hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3192 3724 4256 4704 5586 6384 7448 11172 12768 14896 22344 23719 29792 44688 47438 71157 89376 94876 142314 166033 189752 284628 332066 379504 450661 498099 569256 664132 759008 901322 996198 1138512 1162231 1328264 1351983 1802644 1992396 2277024 2324462 2656528 2703966 3154627 3486693 3605288 3984792 4648924 5313056 5407932 6309254 6973386 7210576 7969584 9297848 9463881 10815864 12618508 13946772 14421152 15939168 18595696 18927762 21631728 22082389 25237016 27893544 37191392 37855524 43263456 44164778 50474032 55787088 66247167 75711048 88329556 100948064 111574176 132494334 151422096 176659112 264988668 302844192 353318224 529977336 706636448 1059954672 2119909344