2121001440 has 96 divisors (see below), whose sum is σ = 6718342176. Its totient is φ = 562452480.

The previous prime is 2121001439. The next prime is 2121001451. The reversal of 2121001440 is 441001212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 74674 + ... + 99086.

It is an arithmetic number, because the mean of its divisors is an integer number (69982731).

Almost surely, 2^2121001440 is an apocalyptic number.

2121001440 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 2121001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359171088).

2121001440 is an abundant number, since it is smaller than the sum of its proper divisors (4597340736).

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

2121001440 is a wasteful number, since it uses less digits than its factorization.

2121001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24612 (or 24604 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2121001440 is about 46054.3313923891. The cubic root of 2121001440 is about 1284.8339028402.

Adding to 2121001440 its reverse (441001212), we get a palindrome (2562002652).

The spelling of 2121001440 in words is "two billion, one hundred twenty-one million, one thousand, four hundred forty".