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2130524640 = 25335493177
BaseRepresentation
bin111111011111101…
…0011100111100000
312111110221212101000
41332333103213200
513330403242030
6551224312000
7103540106046
oct17677234740
95443855330
102130524640
119a3697772
124b5612600
1327c51788a
14162d54396
15c7096860
hex7efd39e0

2130524640 has 96 divisors (see below), whose sum is σ = 7456851360. Its totient is φ = 568138752.

The previous prime is 2130524621. The next prime is 2130524647. The reversal of 2130524640 is 464250312.

2130524640 is a `hidden beast` number, since 2 + 13 + 0 + 5 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130524647) 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, 242269 + ... + 250908.

It is an arithmetic number, because the mean of its divisors is an integer number (77675535).

Almost surely, 22130524640 is an apocalyptic number.

2130524640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130524640 is an abundant number, since it is smaller than the sum of its proper divisors (5326326720).

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

2130524640 is a wasteful number, since it uses less digits than its factorization.

2130524640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493201 (or 493187 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2130524640 is about 46157.6065237356. The cubic root of 2130524640 is about 1286.7539806098.

Adding to 2130524640 its reverse (464250312), we get a palindrome (2594774952).

The spelling of 2130524640 in words is "two billion, one hundred thirty million, five hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 493177 986354 1479531 1972708 2465885 2959062 3945416 4438593 4931770 5918124 7397655 7890832 8877186 9863540 11836248 13315779 14795310 15781664 17754372 19727080 22192965 23672496 26631558 29590620 35508744 39454160 44385930 47344992 53263116 59181240 66578895 71017488 78908320 88771860 106526232 118362480 133157790 142034976 177543720 213052464 236724960 266315580 355087440 426104928 532631160 710174880 1065262320 2130524640