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2540010480 = 243571511911
BaseRepresentation
bin1001011101100101…
…0111101111110000
320120000110220100020
42113121113233300
520200220313410
61100013123440
7116641506240
oct22731275760
96500426306
102540010480
111093851517
125aa789580
133162ca9a7
141a14a7b20
15eced0a70
hex97657bf0

2540010480 has 80 divisors (see below), whose sum is σ = 8998900224. Its totient is φ = 580573440.

The previous prime is 2540010461. The next prime is 2540010493. The reversal of 2540010480 is 840100452.

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 2540010480.

It is a congruent number.

It is an unprimeable number.

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, 754276 + ... + 757635.

Almost surely, 22540010480 is an apocalyptic number.

2540010480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540010480 is an abundant number, since it is smaller than the sum of its proper divisors (6458889744).

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

2540010480 is a wasteful number, since it uses less digits than its factorization.

2540010480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511934 (or 1511928 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2540010480 is about 50398.5166448379. The cubic root of 2540010480 is about 1364.4108662700.

The spelling of 2540010480 in words is "two billion, five hundred forty million, ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1511911 3023822 4535733 6047644 7559555 9071466 10583377 12095288 15119110 18142932 21166754 22678665 24190576 30238220 31750131 36285864 42333508 45357330 52916885 60476440 63500262 72571728 84667016 90714660 105833770 120952880 127000524 158750655 169334032 181429320 211667540 254001048 317501310 362858640 423335080 508002096 635002620 846670160 1270005240 2540010480