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2540742282 = 2331321914653
BaseRepresentation
bin1001011101110000…
…1010011010001010
320120001212002012000
42113130022122022
520200412223112
61100040531430
7116650644621
oct22734123212
96501762160
102540742282
111094201311
125aaa80b76
133164c5b00
141a16186b8
15ed0c77dc
hex9770a68a

2540742282 has 96 divisors (see below), whose sum is σ = 6436036800. Its totient is φ = 740570688.

The previous prime is 2540742277. The next prime is 2540742283. The reversal of 2540742282 is 2822470452.

2540742282 is a `hidden beast` number, since 25 + 407 + 4 + 228 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2540742283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166068 + ... + 180720.

It is an arithmetic number, because the mean of its divisors is an integer number (67042050).

Almost surely, 22540742282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540742282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218018400).

2540742282 is an abundant number, since it is smaller than the sum of its proper divisors (3895294518).

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

2540742282 is a wasteful number, since it uses less digits than its factorization.

2540742282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14709 (or 14690 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2540742282 is about 50405.7762761372. The cubic root of 2540742282 is about 1364.5418870845.

The spelling of 2540742282 in words is "two billion, five hundred forty million, seven hundred forty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 169 171 234 247 338 342 351 494 507 513 702 741 1014 1026 1482 1521 2223 3042 3211 4446 4563 6422 6669 9126 9633 13338 14653 19266 28899 29306 43959 57798 86697 87918 131877 173394 190489 263754 278407 380978 395631 556814 571467 791262 835221 1142934 1670442 1714401 2476357 2505663 3428802 3619291 4952714 5011326 5143203 7238582 7429071 7516989 10286406 10857873 14858142 15033978 21715746 22287213 32573619 44574426 47050783 65147238 66861639 94101566 97720857 133723278 141152349 195441714 282304698 423457047 846914094 1270371141 2540742282