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2542261560 = 2335191115027
BaseRepresentation
bin1001011110000111…
…1101010100111000
320120011201021020120
42113201331110320
520201304332220
61100133253240
7116666603166
oct22741752470
96504637216
102542261560
111095049813
125ab494220
133169084a7
141a18d2236
15ed2c7a40
hex9787d538

2542261560 has 64 divisors (see below), whose sum is σ = 8028201600. Its totient is φ = 642254976.

The previous prime is 2542261543. The next prime is 2542261577. The reversal of 2542261560 is 651622452.

It is an interprime number because it is at equal distance from previous prime (2542261543) and next prime (2542261577).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555234 + ... + 559793.

It is an arithmetic number, because the mean of its divisors is an integer number (125440650).

Almost surely, 22542261560 is an apocalyptic number.

2542261560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542261560 is an abundant number, since it is smaller than the sum of its proper divisors (5485940040).

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

2542261560 is a wasteful number, since it uses less digits than its factorization.

2542261560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115060 (or 1115056 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2542261560 is about 50420.8444990760. The cubic root of 2542261560 is about 1364.8138161978.

The spelling of 2542261560 in words is "two billion, five hundred forty-two million, two hundred sixty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 1115027 2230054 3345081 4460108 5575135 6690162 8920216 11150270 13380324 16725405 21185513 22300540 26760648 33450810 42371026 44601080 63556539 66901620 84742052 105927565 127113078 133803240 169484104 211855130 254226156 317782695 423710260 508452312 635565390 847420520 1271130780 2542261560