2214401024 has 88 divisors (see below), whose sum is σ = 4996317600. Its totient is φ = 971694080.

The previous prime is 2214401023. The next prime is 2214401027. The reversal of 2214401024 is 4201044122.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 2214400987 and 2214401005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214401023) 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, 323267 + ... + 330045.

Almost surely, 2^2214401024 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 2214401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498158800).

2214401024 is an abundant number, since it is smaller than the sum of its proper divisors (2781916576).

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

2214401024 is a wasteful number, since it uses less digits than its factorization.

2214401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2214401024 is about 47057.4226238539. The cubic root of 2214401024 is about 1303.4231330008.

Adding to 2214401024 its reverse (4201044122), we get a palindrome (6415445146).

The spelling of 2214401024 in words is "two billion, two hundred fourteen million, four hundred one thousand, twenty-four".