2141221400 has 96 divisors (see below), whose sum is σ = 5344010640. Its totient is φ = 794972160.

The previous prime is 2141221393. The next prime is 2141221471. The reversal of 2141221400 is 41221412.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243887 + ... + 252513.

Almost surely, 2^2141221400 is an apocalyptic number.

2141221400 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 2141221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672005320).

2141221400 is an abundant number, since it is smaller than the sum of its proper divisors (3202789240).

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

2141221400 is a wasteful number, since it uses less digits than its factorization.

2141221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2141221400 is about 46273.3335734524. Note that the first 3 decimals coincide. The cubic root of 2141221400 is about 1288.9038622363.

Adding to 2141221400 its reverse (41221412), we get a palindrome (2182442812).

The spelling of 2141221400 in words is "two billion, one hundred forty-one million, two hundred twenty-one thousand, four hundred".