2110422134400 has 384 divisors, whose sum is σ = 7019803412160. Its totient is φ = 557250969600.

The previous prime is 2110422134389. The next prime is 2110422134419. The reversal of 2110422134400 is 44312240112.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462708120 + ... + 462712680.

Almost surely, 2^{2110422134400} is an apocalyptic number.

2110422134400 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 2110422134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509901706080).

2110422134400 is an abundant number, since it is smaller than the sum of its proper divisors (4909381277760).

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

2110422134400 is a wasteful number, since it uses less digits than its factorization.

2110422134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2110422134400 its reverse (44312240112), we get a palindrome (2154734374512).

The spelling of 2110422134400 in words is "two trillion, one hundred ten billion, four hundred twenty-two million, one hundred thirty-four thousand, four hundred".