2141821440 has 480 divisors, whose sum is σ = 8418586176. Its totient is φ = 517570560.

The previous prime is 2141821439. The next prime is 2141821441. The reversal of 2141821440 is 441281412.

2141821440 is a `hidden beast` number, since 2 + 141 + 82 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2141821439) and next prime (2141821441).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2141821441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842724 + ... + 6843036.

Almost surely, 2^2141821440 is an apocalyptic number.

2141821440 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 2141821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209293088).

2141821440 is an abundant number, since it is smaller than the sum of its proper divisors (6276764736).

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

2141821440 is an equidigital number, since it uses as much as digits as its factorization.

2141821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2141821440 is about 46279.8167671394. The cubic root of 2141821440 is about 1289.0242486104.

The spelling of 2141821440 in words is "two billion, one hundred forty-one million, eight hundred twenty-one thousand, four hundred forty".