2114222400 has 252 divisors, whose sum is σ = 7699874364. Its totient is φ = 549888000.

The previous prime is 2114222389. The next prime is 2114222401. The reversal of 2114222400 is 42224112.

2114222400 is a `hidden beast` number, since 2 + 1 + 1 + 422 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 82737216 + 2031485184 = 9096^2 + 45072^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114222401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 588610 + ... + 592190.

It is an arithmetic number, because the mean of its divisors is an integer number (30555057).

Almost surely, 2^2114222400 is an apocalyptic number.

2114222400 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 2114222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849937182).

2114222400 is an abundant number, since it is smaller than the sum of its proper divisors (5585651964).

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

2114222400 is a wasteful number, since it uses less digits than its factorization.

2114222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3632 counting only the distinct ones).

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

The square root of 2114222400 is about 45980.6742012337. The cubic root of 2114222400 is about 1283.4636010265.

Adding to 2114222400 its reverse (42224112), we get a palindrome (2156446512).

The spelling of 2114222400 in words is "two billion, one hundred fourteen million, two hundred twenty-two thousand, four hundred".