2214400401 has 24 divisors (see below), whose sum is σ = 3305502720. Its totient is φ = 1427025600.

The previous prime is 2214400381. The next prime is 2214400423. The reversal of 2214400401 is 1040044122.

2214400401 is a `hidden beast` number, since 221 + 4 + 40 + 0 + 401 = 666.

It is not a de Polignac number, because 2214400401 - 2⁶ = 2214400337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2214400801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272485 + ... + 280493.

It is an arithmetic number, because the mean of its divisors is an integer number (137729280).

Almost surely, 2^2214400401 is an apocalyptic number.

It is an amenable number.

2214400401 is a deficient number, since it is larger than the sum of its proper divisors (1091102319).

2214400401 is a wasteful number, since it uses less digits than its factorization.

2214400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2214400401 is about 47057.4160042814. The cubic root of 2214400401 is about 1303.4230107657.

Adding to 2214400401 its reverse (1040044122), we get a palindrome (3254444523).

The spelling of 2214400401 in words is "two billion, two hundred fourteen million, four hundred thousand, four hundred one".