2214122024400 has 480 divisors, whose sum is σ = 8410474695168. Its totient is φ = 490833254400.

The previous prime is 2214122024377. The next prime is 2214122024407. The reversal of 2214122024400 is 44202214122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214122024407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18300907 + ... + 18421493.

Almost surely, 2^{2214122024400} is an apocalyptic number.

2214122024400 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 2214122024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205237347584).

2214122024400 is an abundant number, since it is smaller than the sum of its proper divisors (6196352670768).

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

2214122024400 is a wasteful number, since it uses less digits than its factorization.

2214122024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120739 (or 120728 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2214122024400 its reverse (44202214122), we get a palindrome (2258324238522).

The spelling of 2214122024400 in words is "two trillion, two hundred fourteen billion, one hundred twenty-two million, twenty-four thousand, four hundred".