2563406405 has 16 divisors (see below), whose sum is σ = 3517722624. Its totient is φ = 1756667520.

The previous prime is 2563406401. The next prime is 2563406407. The reversal of 2563406405 is 5046043652.

It is a happy number.

It is not a de Polignac number, because 2563406405 - 2² = 2563406401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563406401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36185 + ... + 80225.

It is an arithmetic number, because the mean of its divisors is an integer number (219857664).

Almost surely, 2^2563406405 is an apocalyptic number.

It is an amenable number.

2563406405 is a deficient number, since it is larger than the sum of its proper divisors (954316219).

2563406405 is a wasteful number, since it uses less digits than its factorization.

2563406405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45716.

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 2563406405 is about 50630.0938671854. The cubic root of 2563406405 is about 1368.5872457733.

The spelling of 2563406405 in words is "two billion, five hundred sixty-three million, four hundred six thousand, four hundred five".