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2540273344 = 26710355051
BaseRepresentation
bin1001011101101001…
…0111111011000000
320120000222020220221
42113122113323000
520200302221334
61100022512424
7116643652510
oct22732277300
96500866827
102540273344
111093a10a64
125aa895714
1331639052b
141a1535840
15ed0338b4
hex97697ec0

2540273344 has 56 divisors (see below), whose sum is σ = 5817014528. Its totient is φ = 1078099200.

The previous prime is 2540273339. The next prime is 2540273363. The reversal of 2540273344 is 4433720452.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18619 + ... + 73669.

Almost surely, 22540273344 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 2540273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908507264).

2540273344 is an abundant number, since it is smaller than the sum of its proper divisors (3276741184).

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

2540273344 is a wasteful number, since it uses less digits than its factorization.

2540273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55173 (or 55163 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 34.

The square root of 2540273344 is about 50401.1244319013. The cubic root of 2540273344 is about 1364.4579319717.

Adding to 2540273344 its reverse (4433720452), we get a palindrome (6973993796).

The spelling of 2540273344 in words is "two billion, five hundred forty million, two hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 412 448 721 824 1442 1648 2884 3296 5768 6592 11536 23072 46144 55051 110102 220204 385357 440408 770714 880816 1541428 1761632 3082856 3523264 5670253 6165712 11340506 12331424 22681012 24662848 39691771 45362024 79383542 90724048 158767084 181448096 317534168 362896192 635068336 1270136672 2540273344