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2540803104 = 253271260319
BaseRepresentation
bin1001011101110001…
…1001010000100000
320120001222011121200
42113130121100200
520200421144404
61100042121200
7116651320140
oct22734312040
96501864550
102540803104
111094242a84
125aaab0200
133165176b8
141a1632920
15ed0da839
hex97719420

2540803104 has 72 divisors (see below), whose sum is σ = 8257616640. Its totient is φ = 725943168.

The previous prime is 2540803103. The next prime is 2540803117. The reversal of 2540803104 is 4013080452.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2540803103) 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 11 ways as a sum of consecutive naturals, for example, 628144 + ... + 632175.

It is an arithmetic number, because the mean of its divisors is an integer number (114689120).

Almost surely, 22540803104 is an apocalyptic number.

2540803104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2540803104 is an abundant number, since it is smaller than the sum of its proper divisors (5716813536).

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

2540803104 is a wasteful number, since it uses less digits than its factorization.

2540803104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260342 (or 1260331 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2540803104 is about 50406.3795962376. The cubic root of 2540803104 is about 1364.5527754385.

Adding to 2540803104 its reverse (4013080452), we get a palindrome (6553883556).

The spelling of 2540803104 in words is "two billion, five hundred forty million, eight hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1260319 2520638 3780957 5041276 7561914 8822233 10082552 11342871 15123828 17644466 20165104 22685742 26466699 30247656 35288932 40330208 45371484 52933398 60495312 70577864 79400097 90742968 105866796 120990624 141155728 158800194 181485936 211733592 282311456 317600388 362971872 423467184 635200776 846934368 1270401552 2540803104