2141344400 has 120 divisors (see below), whose sum is σ = 5566727040. Its totient is φ = 786885120.

The previous prime is 2141344399. The next prime is 2141344409. The reversal of 2141344400 is 44431412.

It is a happy number.

It is a super-2 number, since 2×2141344400² = 9170711678822720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2141344409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1241939 + ... + 1243661.

It is an arithmetic number, because the mean of its divisors is an integer number (46389392).

Almost surely, 2^2141344400 is an apocalyptic number.

2141344400 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 2141344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783363520).

2141344400 is an abundant number, since it is smaller than the sum of its proper divisors (3425382640).

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

2141344400 is a wasteful number, since it uses less digits than its factorization.

2141344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2141344400 is about 46274.6626135729. The cubic root of 2141344400 is about 1288.9285416303.

Adding to 2141344400 its reverse (44431412), we get a palindrome (2185775812).

The spelling of 2141344400 in words is "two billion, one hundred forty-one million, three hundred forty-four thousand, four hundred".