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2684395520 = 213565537
BaseRepresentation
bin1010000000000000…
…1010000000000000
320221002011102101022
42200000022000000
520444201124040
61122211525012
7123343662002
oct24000120000
96832142338
102684395520
1111582a90a4
1262abb9768
1333a1b1c21
141b6730372
1510aa016b5
hexa000a000

2684395520 has 56 divisors (see below), whose sum is σ = 6442254324. Its totient is φ = 1073741824.

The previous prime is 2684395513. The next prime is 2684395531. The reversal of 2684395520 is 255934862.

It can be written as a sum of positive squares in 2 ways, for example, as 2422214656 + 262180864 = 49216^2 + 16192^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

In principle, a polygon with 2684395520 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8192 + ... + 73728.

Almost surely, 22684395520 is an apocalyptic number.

2684395520 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 2684395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221127162).

2684395520 is an abundant number, since it is smaller than the sum of its proper divisors (3757858804).

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

2684395520 is an frugal number, since it uses more digits than its factorization.

2684395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65568 (or 65544 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 2684395520 is about 51811.1524673984. The cubic root of 2684395520 is about 1389.7888884565.

The spelling of 2684395520 in words is "two billion, six hundred eighty-four million, three hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 20480 40960 65537 131074 262148 327685 524296 655370 1048592 1310740 2097184 2621480 4194368 5242960 8388736 10485920 16777472 20971840 33554944 41943680 67109888 83887360 134219776 167774720 268439552 335549440 536879104 671098880 1342197760 2684395520