2011401104 has 160 divisors (see below), whose sum is σ = 4556315520. Its totient is φ = 853991424.

The previous prime is 2011401101. The next prime is 2011401107. The reversal of 2011401104 is 4011041102.

It is an interprime number because it is at equal distance from previous prime (2011401101) and next prime (2011401107).

It is not an unprimeable number, because it can be changed into a prime (2011401101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12811394 + ... + 12811550.

It is an arithmetic number, because the mean of its divisors is an integer number (28476972).

Almost surely, 2^2011401104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278157760).

2011401104 is an abundant number, since it is smaller than the sum of its proper divisors (2544914416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011401104 is a wasteful number, since it uses less digits than its factorization.

2011401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2011401104 is about 44848.6466239506. The cubic root of 2011401104 is about 1262.3105968718.

Adding to 2011401104 its reverse (4011041102), we get a palindrome (6022442206).

The spelling of 2011401104 in words is "two billion, eleven million, four hundred one thousand, one hundred four".