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2442009461 is a prime number
BaseRepresentation
bin1001000110001110…
…0001101101110101
320022012001221012212
42101203201231311
520000123300321
61042152423205
7114341511053
oct22143415565
96265057185
102442009461
1110434a5941
125819a7b05
132cbc07018
141924771d3
15e45c355b
hex918e1b75

2442009461 has 2 divisors, whose sum is σ = 2442009462. Its totient is φ = 2442009460.

The previous prime is 2442009433. The next prime is 2442009463. The reversal of 2442009461 is 1649002442.

2442009461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2194922500 + 247086961 = 46850^2 + 15719^2 .

It is a cyclic number.

It is not a de Polignac number, because 2442009461 - 222 = 2437815157 is a prime.

It is a super-2 number, since 2×24420094612 = 11926820415227021042, which contains 22 as substring.

Together with 2442009463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2442009463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1221004730 + 1221004731.

It is an arithmetic number, because the mean of its divisors is an integer number (1221004731).

Almost surely, 22442009461 is an apocalyptic number.

It is an amenable number.

2442009461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2442009461 is an equidigital number, since it uses as much as digits as its factorization.

2442009461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2442009461 is about 49416.6921292796. The cubic root of 2442009461 is about 1346.6325695206.

The spelling of 2442009461 in words is "two billion, four hundred forty-two million, nine thousand, four hundred sixty-one".