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2590068450 = 2352374310853
BaseRepresentation
bin1001101001100001…
…0100111011100010
320200111200002222010
42122120110323202
520301024142300
61105002053350
7121120134654
oct23230247342
96614602863
102590068450
11110a031842
126034aa256
133237a65a8
141a7db86d4
151025bca50
hex9a614ee2

2590068450 has 96 divisors (see below), whose sum is σ = 6751014336. Its totient is φ = 656328960.

The previous prime is 2590068401. The next prime is 2590068451. The reversal of 2590068450 is 548600952.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2590068399 and 2590068408.

It is not an unprimeable number, because it can be changed into a prime (2590068451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233224 + ... + 244076.

It is an arithmetic number, because the mean of its divisors is an integer number (70323066).

Almost surely, 22590068450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590068450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375507168).

2590068450 is an abundant number, since it is smaller than the sum of its proper divisors (4160945886).

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

2590068450 is a wasteful number, since it uses less digits than its factorization.

2590068450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 2590068450 is about 50892.7150975461. The cubic root of 2590068450 is about 1373.3157913339.

The spelling of 2590068450 in words is "two billion, five hundred ninety million, sixty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 43 50 74 75 86 111 129 150 185 215 222 258 370 430 555 645 925 1075 1110 1290 1591 1850 2150 2775 3182 3225 4773 5550 6450 7955 9546 10853 15910 21706 23865 32559 39775 47730 54265 65118 79550 108530 119325 162795 238650 271325 325590 401561 466679 542650 803122 813975 933358 1204683 1400037 1627950 2007805 2333395 2409366 2800074 4015610 4666790 6023415 7000185 10039025 11666975 12046830 14000370 17267123 20078050 23333950 30117075 34534246 35000925 51801369 60234150 70001850 86335615 103602738 172671230 259006845 431678075 518013690 863356150 1295034225 2590068450