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2494641996 = 2233711227271
BaseRepresentation
bin1001010010110001…
…0011011101001100
320102212002221111000
42110230103131030
520102112020441
61051312500300
7115551051510
oct22454233514
96385087430
102494641996
111070184500
1259754a690
13309aa4732
14199458140
15e901d2b6
hex94b1374c

2494641996 has 144 divisors (see below), whose sum is σ = 8124874240. Its totient is φ = 647935200.

The previous prime is 2494641979. The next prime is 2494642019. The reversal of 2494641996 is 6991464942.

It is a happy number.

2494641996 is a `hidden beast` number, since 2 + 494 + 64 + 1 + 9 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77841 + ... + 105111.

Almost surely, 22494641996 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 2494641996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062437120).

2494641996 is an abundant number, since it is smaller than the sum of its proper divisors (5630232244).

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

2494641996 is a wasteful number, since it uses less digits than its factorization.

2494641996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27313 (or 27294 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 2494641996 is about 49946.3912209881. The cubic root of 2494641996 is about 1356.2385240989.

The spelling of 2494641996 in words is "two billion, four hundred ninety-four million, six hundred forty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 198 231 242 252 297 308 363 378 396 462 484 594 693 726 756 847 924 1089 1188 1386 1452 1694 2079 2178 2541 2772 3267 3388 4158 4356 5082 6534 7623 8316 10164 13068 15246 22869 27271 30492 45738 54542 81813 91476 109084 163626 190897 245439 299981 327252 381794 490878 572691 599962 736317 763588 899943 981756 1145382 1199924 1472634 1718073 1799886 2099867 2290764 2699829 2945268 3299791 3436146 3599772 4199734 5154219 5399658 6299601 6599582 6872292 8099487 8399468 9899373 10308438 10799316 12599202 13199164 16198974 18898803 19798746 20616876 23098537 25198404 29698119 32397948 37797606 39597492 46197074 56696409 59396238 69295611 75595212 89094357 92394148 113392818 118792476 138591222 178188714 207886833 226785636 277182444 356377428 415773666 623660499 831547332 1247320998 2494641996