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2064548640 = 253571183673
BaseRepresentation
bin111101100001110…
…1000001100100000
312022212210221022110
41323003220030200
513212011024030
6540510235320
7102106242150
oct17303501440
95285727273
102064548640
1196a424a50
124974b5b40
1326b95781b
1415829c760
15c13b31b0
hex7b0e8320

2064548640 has 384 divisors, whose sum is σ = 8217925632. Its totient is φ = 423198720.

The previous prime is 2064548627. The next prime is 2064548641. The reversal of 2064548640 is 468454602.

It is a super-2 number, since 2×20645486402 = 8524722173851699200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2064548641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3067344 + ... + 3068016.

It is an arithmetic number, because the mean of its divisors is an integer number (21400848).

Almost surely, 22064548640 is an apocalyptic number.

2064548640 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 2064548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108962816).

2064548640 is an abundant number, since it is smaller than the sum of its proper divisors (6153376992).

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

2064548640 is a wasteful number, since it uses less digits than its factorization.

2064548640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 2064548640 is about 45437.3044975161. The cubic root of 2064548640 is about 1273.3321552456.

The spelling of 2064548640 in words is "two billion, sixty-four million, five hundred forty-eight thousand, six hundred forty".