2011102405 has 64 divisors (see below), whose sum is σ = 2887073280. Its totient is φ = 1330560000.

The previous prime is 2011102399. The next prime is 2011102421. The reversal of 2011102405 is 5042011102.

It is a de Polignac number, because none of the positive numbers 2^k-2011102405 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2868555 + ... + 2869255.

It is an arithmetic number, because the mean of its divisors is an integer number (45110520).

Almost surely, 2^2011102405 is an apocalyptic number.

It is an amenable number.

2011102405 is a deficient number, since it is larger than the sum of its proper divisors (875970875).

2011102405 is a wasteful number, since it uses less digits than its factorization.

2011102405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2011102405 is about 44845.3164221193. The cubic root of 2011102405 is about 1262.2481081622.

Adding to 2011102405 its reverse (5042011102), we get a palindrome (7053113507).

The spelling of 2011102405 in words is "two billion, eleven million, one hundred two thousand, four hundred five".