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2494720296 = 233417212237
BaseRepresentation
bin1001010010110010…
…0110100100101000
320102212020220220000
42110230212210220
520102122022141
61051314303000
7115551526005
oct22454464450
96385226800
102494720296
111070228312
12597587a60
13309b01273
141994788ac
15e90365b6
hex94b26928

2494720296 has 80 divisors (see below), whose sum is σ = 6994712340. Its totient is φ = 830718720.

The previous prime is 2494720289. The next prime is 2494720297. The reversal of 2494720296 is 6920274942.

It is a happy number.

2494720296 is a `hidden beast` number, since 2 + 494 + 72 + 0 + 2 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2301120900 + 193599396 = 47970^2 + 13914^2 .

It is not an unprimeable number, because it can be changed into a prime (2494720297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1114090 + ... + 1116326.

Almost surely, 22494720296 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 2494720296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497356170).

2494720296 is an abundant number, since it is smaller than the sum of its proper divisors (4499992044).

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

2494720296 is a wasteful number, since it uses less digits than its factorization.

2494720296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2494720296 is about 49947.1750552521. The cubic root of 2494720296 is about 1356.2527134917.

The spelling of 2494720296 in words is "two billion, four hundred ninety-four million, seven hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1721 2237 3442 4474 5163 6711 6884 8948 10326 13422 13768 15489 17896 20133 20652 26844 30978 40266 41304 46467 53688 60399 61956 80532 92934 120798 123912 139401 161064 181197 185868 241596 278802 362394 371736 483192 557604 724788 1115208 1449576 3849877 7699754 11549631 15399508 23099262 30799016 34648893 46198524 69297786 92397048 103946679 138595572 207893358 277191144 311840037 415786716 623680074 831573432 1247360148 2494720296