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2540332314 = 2331329124783
BaseRepresentation
bin1001011101101010…
…0110010100011010
320120001002020211000
42113122212110122
520200311113224
61100024045430
7116644316442
oct22732462432
96501066730
102540332314
111093a512a3
125aa903876
133163b1320
141a154d122
15ed0460c9
hex976a651a

2540332314 has 64 divisors (see below), whose sum is σ = 6289113600. Its totient is φ = 754681536.

The previous prime is 2540332303. The next prime is 2540332367. The reversal of 2540332314 is 4132330452.

2540332314 is a `hidden beast` number, since 25 + 403 + 3 + 231 + 4 = 666.

2540332314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42034 + ... + 82749.

It is an arithmetic number, because the mean of its divisors is an integer number (98267400).

Almost surely, 22540332314 is an apocalyptic number.

2540332314 is an abundant number, since it is smaller than the sum of its proper divisors (3748781286).

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

2540332314 is a wasteful number, since it uses less digits than its factorization.

2540332314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124836 (or 124830 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2540332314 is about 50401.7094352959. The cubic root of 2540332314 is about 1364.4684900824.

Adding to 2540332314 its reverse (4132330452), we get a palindrome (6672662766).

The spelling of 2540332314 in words is "two billion, five hundred forty million, three hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 234 261 351 377 522 702 754 783 1131 1566 2262 3393 6786 10179 20358 124783 249566 374349 748698 1123047 1622179 2246094 3244358 3369141 3618707 4866537 6738282 7237414 9733074 10856121 14599611 21712242 29199222 32568363 43798833 47043191 65136726 87597666 94086382 97705089 141129573 195410178 282259146 423388719 846777438 1270166157 2540332314