2212014400 has 84 divisors (see below), whose sum is σ = 5459516640. Its totient is φ = 882112000.

The previous prime is 2212014383. The next prime is 2212014419. The reversal of 2212014400 is 44102122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572475 + ... + 576325.

Almost surely, 2^2212014400 is an apocalyptic number.

2212014400 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 2212014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729758320).

2212014400 is an abundant number, since it is smaller than the sum of its proper divisors (3247502240).

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

2212014400 is a wasteful number, since it uses less digits than its factorization.

2212014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2212014400 is about 47032.0571525422. The cubic root of 2212014400 is about 1302.9546994545.

Adding to 2212014400 its reverse (44102122), we get a palindrome (2256116522).

The spelling of 2212014400 in words is "two billion, two hundred twelve million, fourteen thousand, four hundred".