2210140114400 has 144 divisors (see below), whose sum is σ = 5578677191808. Its totient is φ = 854136576000.

The previous prime is 2210140114397. The next prime is 2210140114421. The reversal of 2210140114400 is 44110410122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15129710 + ... + 15275090.

It is an arithmetic number, because the mean of its divisors is an integer number (38740813832).

Almost surely, 2^{2210140114400} is an apocalyptic number.

2210140114400 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 2210140114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789338595904).

2210140114400 is an abundant number, since it is smaller than the sum of its proper divisors (3368537077408).

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

2210140114400 is a wasteful number, since it uses less digits than its factorization.

2210140114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146045 (or 146032 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2210140114400 its reverse (44110410122), we get a palindrome (2254250524522).

The spelling of 2210140114400 in words is "two trillion, two hundred ten billion, one hundred forty million, one hundred fourteen thousand, four hundred".