2214413300 has 72 divisors (see below), whose sum is σ = 5259788352. Its totient is φ = 802528000.

The previous prime is 2214413287. The next prime is 2214413303. The reversal of 2214413300 is 33144122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214413303) 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, 338864 + ... + 345336.

It is an arithmetic number, because the mean of its divisors is an integer number (73052616).

Almost surely, 2^2214413300 is an apocalyptic number.

2214413300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629894176).

2214413300 is an abundant number, since it is smaller than the sum of its proper divisors (3045375052).

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

2214413300 is a wasteful number, since it uses less digits than its factorization.

2214413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2214413300 is about 47057.5530600562. The cubic root of 2214413300 is about 1303.4255415969.

Adding to 2214413300 its reverse (33144122), we get a palindrome (2247557422).

It can be divided in two parts, 2214 and 413300, that added together give a palindrome (415514).

The spelling of 2214413300 in words is "two billion, two hundred fourteen million, four hundred thirteen thousand, three hundred".