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2064122560 = 26529347641
BaseRepresentation
bin111101100001000…
…0000001011000000
312022212000021211201
41323002000023000
513211403410220
6540453150544
7102102516013
oct17302001300
95285007751
102064122560
1196a163915
1249732b454
1326b8388c6
141581cb37a
15c132bd0a
hex7b0802c0

2064122560 has 112 divisors (see below), whose sum is σ = 5107289760. Its totient is φ = 793640960.

The previous prime is 2064122549. The next prime is 2064122563. The reversal of 2064122560 is 652214602.

It is not an unprimeable number, because it can be changed into a prime (2064122563) 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, 3219840 + ... + 3220480.

Almost surely, 22064122560 is an apocalyptic number.

2064122560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553644880).

2064122560 is an abundant number, since it is smaller than the sum of its proper divisors (3043167200).

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

2064122560 is a wasteful number, since it uses less digits than its factorization.

2064122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2064122560 is about 45432.6155971676. The cubic root of 2064122560 is about 1273.2445527738.

The spelling of 2064122560 in words is "two billion, sixty-four million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 347 464 580 641 694 928 1160 1282 1388 1735 1856 2320 2564 2776 3205 3470 4640 5128 5552 6410 6940 9280 10063 10256 11104 12820 13880 18589 20126 20512 22208 25640 27760 37178 40252 41024 50315 51280 55520 74356 80504 92945 100630 102560 111040 148712 161008 185890 201260 205120 222427 297424 322016 371780 402520 444854 594848 644032 743560 805040 889708 1112135 1189696 1487120 1610080 1779416 2224270 2974240 3220160 3558832 4448540 5948480 6450383 7117664 8897080 12900766 14235328 17794160 25801532 32251915 35588320 51603064 64503830 71176640 103206128 129007660 206412256 258015320 412824512 516030640 1032061280 2064122560