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2540397829 is a prime number
BaseRepresentation
bin1001011101101011…
…0110010100000101
320120001012120200111
42113122312110011
520200320212304
61100025313021
7116645011444
oct22732662405
96501176614
102540397829
111093a96542
125aa935771
133164050a8
141a1568d5b
15ed05a704
hex976b6505

2540397829 has 2 divisors, whose sum is σ = 2540397830. Its totient is φ = 2540397828.

The previous prime is 2540397823. The next prime is 2540397919. The reversal of 2540397829 is 9287930452.

2540397829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1573312225 + 967085604 = 39665^2 + 31098^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2540397829 is a prime.

It is a super-2 number, since 2×25403978292 = 12907242259175826482, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2540397823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270198914 + 1270198915.

It is an arithmetic number, because the mean of its divisors is an integer number (1270198915).

Almost surely, 22540397829 is an apocalyptic number.

It is an amenable number.

2540397829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540397829 is an equidigital number, since it uses as much as digits as its factorization.

2540397829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 2540397829 is about 50402.3593594586. The cubic root of 2540397829 is about 1364.4802198318.

The spelling of 2540397829 in words is "two billion, five hundred forty million, three hundred ninety-seven thousand, eight hundred twenty-nine".