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2054061440 = 27510393089
BaseRepresentation
bin111101001101110…
…0111110110000000
312022011002010120122
41322123213312000
513201314431230
6535453355412
7101621143214
oct17233476600
95264063518
102054061440
11964511842
12493a98b68
13269725292
14156b2c944
15c04e0be5
hex7a6e7d80

2054061440 has 64 divisors (see below), whose sum is σ = 4916808000. Its totient is φ = 820568064.

The previous prime is 2054061421. The next prime is 2054061461. The reversal of 2054061440 is 441604502.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 663416 + ... + 666504.

It is an arithmetic number, because the mean of its divisors is an integer number (76825125).

Almost surely, 22054061440 is an apocalyptic number.

2054061440 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 2054061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458404000).

2054061440 is an abundant number, since it is smaller than the sum of its proper divisors (2862746560).

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

2054061440 is a wasteful number, since it uses less digits than its factorization.

2054061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2054061440 is about 45321.7545997504. The cubic root of 2054061440 is about 1271.1724638622.

Adding to 2054061440 its reverse (441604502), we get a palindrome (2495665942).

The spelling of 2054061440 in words is "two billion, fifty-four million, sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1039 2078 3089 4156 5195 6178 8312 10390 12356 15445 16624 20780 24712 30890 33248 41560 49424 61780 66496 83120 98848 123560 132992 166240 197696 247120 332480 395392 494240 664960 988480 1976960 3209471 6418942 12837884 16047355 25675768 32094710 51351536 64189420 102703072 128378840 205406144 256757680 410812288 513515360 1027030720 2054061440