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2540304240 = 243541258161
BaseRepresentation
bin1001011101101001…
…1111011101110000
320120001000211022020
42113122133131300
520200304213430
61100023311440
7116644141545
oct22732373560
96501024266
102540304240
111093a321a1
125aa8ab580
133163a1606
141a1542bcc
15ed03cb10
hex9769f770

2540304240 has 80 divisors (see below), whose sum is σ = 8067046176. Its totient is φ = 660889600.

The previous prime is 2540304233. The next prime is 2540304241. The reversal of 2540304240 is 424030452.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2540304240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540304241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119241 + ... + 138920.

Almost surely, 22540304240 is an apocalyptic number.

2540304240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540304240 is an abundant number, since it is smaller than the sum of its proper divisors (5526741936).

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

2540304240 is a wasteful number, since it uses less digits than its factorization.

2540304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258218 (or 258212 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2540304240 is about 50401.4309320678. The cubic root of 2540304240 is about 1364.4634636758.

Adding to 2540304240 its reverse (424030452), we get a palindrome (2964334692).

The spelling of 2540304240 in words is "two billion, five hundred forty million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 258161 516322 774483 1032644 1290805 1548966 2065288 2581610 3097932 3872415 4130576 5163220 6195864 7744830 10326440 10584601 12391728 15489660 20652880 21169202 30979320 31753803 42338404 52923005 61958640 63507606 84676808 105846010 127015212 158769015 169353616 211692020 254030424 317538030 423384040 508060848 635076060 846768080 1270152120 2540304240