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2064391680 = 293513232931
BaseRepresentation
bin111101100001100…
…0001111000000000
312022212111222000010
41323003001320000
513211441013210
6540503024520
7102105016431
oct17303017000
95285458003
102064391680
1196a32802a
1249743b140
1326b901250
1415825b488
15c1381920
hex7b0c1e00

2064391680 has 640 divisors, whose sum is σ = 7919493120. Its totient is φ = 454164480.

The previous prime is 2064391661. The next prime is 2064391751. The reversal of 2064391680 is 861934602.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66593265 + ... + 66593295.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 22064391680 is an apocalyptic number.

2064391680 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 2064391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560).

2064391680 is an abundant number, since it is smaller than the sum of its proper divisors (5855101440).

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

2064391680 is a wasteful number, since it uses less digits than its factorization.

2064391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2064391680 is about 45435.5772495519. The cubic root of 2064391680 is about 1273.2998855158.

The spelling of 2064391680 in words is "two billion, sixty-four million, three hundred ninety-one thousand, six hundred eighty".