2214414390100 has 288 divisors, whose sum is σ = 5567218675200. Its totient is φ = 757054771200.

The previous prime is 2214414390079. The next prime is 2214414390109. The reversal of 2214414390100 is 10934144122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214414390109) 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, 183961282 + ... + 183973318.

It is an arithmetic number, because the mean of its divisors is an integer number (19330620400).

Almost surely, 2^{2214414390100} is an apocalyptic number.

2214414390100 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 2214414390100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783609337600).

2214414390100 is an abundant number, since it is smaller than the sum of its proper divisors (3352804285100).

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

2214414390100 is a wasteful number, since it uses less digits than its factorization.

2214414390100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12243 (or 12236 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 2214414390100 in words is "two trillion, two hundred fourteen billion, four hundred fourteen million, three hundred ninety thousand, one hundred".