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2602260240 = 243543252157
BaseRepresentation
bin1001101100011011…
…0101011100010000
320201100121111221220
42123012311130100
520312134311430
61110115245040
7121325563356
oct23306653420
96640544856
102602260240
1111159a96a8
126075a9780
13326184978
141a986d7d6
151036ca110
hex9b1b5710

2602260240 has 80 divisors (see below), whose sum is σ = 8254644288. Its totient is φ = 677795328.

The previous prime is 2602260211. The next prime is 2602260247. The reversal of 2602260240 is 420622062.

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 2602260240.

It is not an unprimeable number, because it can be changed into a prime (2602260247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115759 + ... + 136398.

Almost surely, 22602260240 is an apocalyptic number.

2602260240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2602260240 is an abundant number, since it is smaller than the sum of its proper divisors (5652384048).

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

2602260240 is a wasteful number, since it uses less digits than its factorization.

2602260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252216 (or 252210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2602260240 is about 51012.3537978792. The cubic root of 2602260240 is about 1375.4672113660.

The spelling of 2602260240 in words is "two billion, six hundred two million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 252157 504314 756471 1008628 1260785 1512942 2017256 2521570 3025884 3782355 4034512 5043140 6051768 7564710 10086280 10842751 12103536 15129420 20172560 21685502 30258840 32528253 43371004 54213755 60517680 65056506 86742008 108427510 130113012 162641265 173484016 216855020 260226024 325282530 433710040 520452048 650565060 867420080 1301130120 2602260240