2906401041 has 8 divisors (see below), whose sum is σ = 4305779360. Its totient is φ = 1937600676.

The previous prime is 2906401027. The next prime is 2906401067. The reversal of 2906401041 is 1401046092.

2906401041 is a `hidden beast` number, since 2 + 9 + 0 + 640 + 10 + 4 + 1 = 666.

It is not a de Polignac number, because 2906401041 - 2¹⁰ = 2906400017 is a prime.

It is a super-2 number, since 2×2906401041² = 16894334022251767362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 107644483 = 2906401041 / (2 + 9 + 0 + 6 + 4 + 0 + 1 + 0 + 4 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2906400996 and 2906401014.

It is not an unprimeable number, because it can be changed into a prime (2906401021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53822215 + ... + 53822268.

It is an arithmetic number, because the mean of its divisors is an integer number (538222420).

Almost surely, 2^2906401041 is an apocalyptic number.

It is an amenable number.

2906401041 is a deficient number, since it is larger than the sum of its proper divisors (1399378319).

2906401041 is a wasteful number, since it uses less digits than its factorization.

2906401041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107644492 (or 107644486 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2906401041 is about 53911.0474856499. The cubic root of 2906401041 is about 1427.0915899947.

The spelling of 2906401041 in words is "two billion, nine hundred six million, four hundred one thousand, forty-one".