2214404134000 has 160 divisors (see below), whose sum is σ = 5654051956800. Its totient is φ = 836490931200.

The previous prime is 2214404133967. The next prime is 2214404134039. The reversal of 2214404134000 is 4314044122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11954086 + ... + 12137914.

It is an arithmetic number, because the mean of its divisors is an integer number (35337824730).

Almost surely, 2^{2214404134000} is an apocalyptic number.

2214404134000 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 2214404134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827025978400).

2214404134000 is an abundant number, since it is smaller than the sum of its proper divisors (3439647822800).

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

2214404134000 is a wasteful number, since it uses less digits than its factorization.

2214404134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184188 (or 184172 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2214404134000 its reverse (4314044122), we get a palindrome (2218718178122).

The spelling of 2214404134000 in words is "two trillion, two hundred fourteen billion, four hundred four million, one hundred thirty-four thousand".