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2061080448 = 27377511021
BaseRepresentation
bin111101011011001…
…1001011110000000
312022122021201211220
41322312121132000
513210114033243
6540304035040
7102034615620
oct17266313600
95278251756
102061080448
11968476279
12496302a80
1326b01203b
14157a38880
15c0e2a783
hex7ad99780

2061080448 has 128 divisors (see below), whose sum is σ = 6271319040. Its totient is φ = 587520000.

The previous prime is 2061080447. The next prime is 2061080491. The reversal of 2061080448 is 8440801602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20610804482 = 8496105226255761408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2061080443) 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, 2018178 + ... + 2019198.

It is an arithmetic number, because the mean of its divisors is an integer number (48994680).

Almost surely, 22061080448 is an apocalyptic number.

2061080448 is a gapful number since it is divisible by the number (28) 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 2061080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135659520).

2061080448 is an abundant number, since it is smaller than the sum of its proper divisors (4210238592).

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

2061080448 is a wasteful number, since it uses less digits than its factorization.

2061080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2061080448 is about 45399.1238681982. The cubic root of 2061080448 is about 1272.6187409444.

The spelling of 2061080448 in words is "two billion, sixty-one million, eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 751 896 1021 1344 1502 2042 2253 2688 3004 3063 4084 4506 5257 6008 6126 7147 8168 9012 10514 12016 12252 14294 15771 16336 18024 21028 21441 24032 24504 28588 31542 32672 36048 42056 42882 48064 49008 57176 63084 65344 72096 84112 85764 96128 98016 114352 126168 130688 144192 168224 171528 196032 228704 252336 288384 336448 343056 392064 457408 504672 672896 686112 766771 914816 1009344 1372224 1533542 2018688 2300313 2744448 3067084 4600626 5367397 6134168 9201252 10734794 12268336 16102191 18402504 21469588 24536672 32204382 36805008 42939176 49073344 64408764 73610016 85878352 98146688 128817528 147220032 171756704 257635056 294440064 343513408 515270112 687026816 1030540224 2061080448