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2540052450 = 23252131725541
BaseRepresentation
bin1001011101100110…
…0001111111100010
320120000120000220200
42113121201333202
520200223134300
61100014050030
7116642042505
oct22731417742
96500500820
102540052450
111093880001
125aa7a9916
13316313b20
141a14b913c
15ecedd200
hex97661fe2

2540052450 has 144 divisors (see below), whose sum is σ = 7781830056. Its totient is φ = 588441600.

The previous prime is 2540052421. The next prime is 2540052457. The reversal of 2540052450 is 542500452.

It can be written as a sum of positive squares in 12 ways, for example, as 78801129 + 2461251321 = 8877^2 + 49611^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2540052457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86680 + ... + 112220.

Almost surely, 22540052450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540052450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890915028).

2540052450 is an abundant number, since it is smaller than the sum of its proper divisors (5241777606).

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

2540052450 is a wasteful number, since it uses less digits than its factorization.

2540052450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25589 (or 25581 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2540052450 is about 50398.9330244203. The cubic root of 2540052450 is about 1364.4183812008.

The spelling of 2540052450 in words is "two billion, five hundred forty million, fifty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 130 150 153 170 195 221 225 234 255 306 325 390 425 442 450 510 585 650 663 765 850 975 1105 1170 1275 1326 1530 1950 1989 2210 2550 2925 3315 3825 3978 5525 5850 6630 7650 9945 11050 16575 19890 25541 33150 49725 51082 76623 99450 127705 153246 229869 255410 332033 383115 434197 459738 638525 664066 766230 868394 996099 1149345 1277050 1302591 1660165 1915575 1992198 2170985 2298690 2605182 2988297 3320330 3831150 3907773 4341970 4980495 5644561 5746725 5976594 6512955 7815546 8300825 9960990 10854925 11289122 11493450 13025910 14941485 16601650 16933683 19538865 21709850 24902475 28222805 29882970 32564775 33867366 39077730 49804950 50801049 56445610 65129550 74707425 84668415 97694325 101602098 141114025 149414850 169336830 195388650 254005245 282228050 423342075 508010490 846684150 1270026225 2540052450