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2325664640 = 275133171127
BaseRepresentation
bin1000101010011110…
…1101001110000000
320000002011000010102
42022213231032000
514230332232030
61022435021532
7111426552245
oct21247551600
96002130112
102325664640
11a938602a2
1254aa3a8a8
132b0a8ca30
14180c2d5cc
15d9290c45
hex8a9ed380

2325664640 has 256 divisors, whose sum is σ = 6317015040. Its totient is φ = 812851200.

The previous prime is 2325664631. The next prime is 2325664661. The reversal of 2325664640 is 464665232.

It is a junction number, because it is equal to n+sod(n) for n = 2325664594 and 2325664603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18312257 + ... + 18312383.

It is an arithmetic number, because the mean of its divisors is an integer number (24675840).

Almost surely, 22325664640 is an apocalyptic number.

2325664640 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 2325664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158507520).

2325664640 is an abundant number, since it is smaller than the sum of its proper divisors (3991350400).

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

2325664640 is a wasteful number, since it uses less digits than its factorization.

2325664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The square root of 2325664640 is about 48225.1453082311. The cubic root of 2325664640 is about 1324.8977521669.

The spelling of 2325664640 in words is "two billion, three hundred twenty-five million, six hundred sixty-four thousand, six hundred forty".