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2530326240 = 2532513177951
BaseRepresentation
bin1001011011010001…
…1011011011100000
320112100020220001200
42112310123123200
520140230414430
61055025401200
7116463263301
oct22664333340
96470226050
102530326240
111089337612
125a7499200
133142b9a80
141a00a67a8
15ec21b460
hex96d1b6e0

2530326240 has 288 divisors, whose sum is σ = 9847184256. Its totient is φ = 586137600.

The previous prime is 2530326217. The next prime is 2530326251. The reversal of 2530326240 is 426230352.

2530326240 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 32 + 624 + 0 = 666.

2530326240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314265 + ... + 322215.

It is an arithmetic number, because the mean of its divisors is an integer number (34191612).

Almost surely, 22530326240 is an apocalyptic number.

2530326240 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 2530326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923592128).

2530326240 is an abundant number, since it is smaller than the sum of its proper divisors (7316858016).

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

2530326240 is a wasteful number, since it uses less digits than its factorization.

2530326240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7991 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2530326240 is about 50302.3482553250. The cubic root of 2530326240 is about 1362.6746384458.

Adding to 2530326240 its reverse (426230352), we get a palindrome (2956556592).

The spelling of 2530326240 in words is "two billion, five hundred thirty million, three hundred twenty-six thousand, two hundred forty".