2122140400 has 120 divisors (see below), whose sum is σ = 5390748720. Its totient is φ = 800593920.

The previous prime is 2122140389. The next prime is 2122140463. The reversal of 2122140400 is 40412212.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2226324 + ... + 2227276.

It is an arithmetic number, because the mean of its divisors is an integer number (44922906).

Almost surely, 2^2122140400 is an apocalyptic number.

2122140400 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 2122140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695374360).

2122140400 is an abundant number, since it is smaller than the sum of its proper divisors (3268608320).

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

2122140400 is a wasteful number, since it uses less digits than its factorization.

2122140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2122140400 is about 46066.6951278253. The cubic root of 2122140400 is about 1285.0638433662.

Adding to 2122140400 its reverse (40412212), we get a palindrome (2162552612).

The spelling of 2122140400 in words is "two billion, one hundred twenty-two million, one hundred forty thousand, four hundred".