2130421440 has 224 divisors, whose sum is σ = 7830190080. Its totient is φ = 480669696.

The previous prime is 2130421439. The next prime is 2130421441. The reversal of 2130421440 is 441240312.

It is an interprime number because it is at equal distance from previous prime (2130421439) and next prime (2130421441).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2130421441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 528874 + ... + 532886.

Almost surely, 2^2130421440 is an apocalyptic number.

2130421440 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 2130421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915095040).

2130421440 is an abundant number, since it is smaller than the sum of its proper divisors (5699768640).

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

2130421440 is a wasteful number, since it uses less digits than its factorization.

2130421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2130421440 is about 46156.4886012790. The cubic root of 2130421440 is about 1286.7332040128.

Adding to 2130421440 its reverse (441240312), we get a palindrome (2571661752).

The spelling of 2130421440 in words is "two billion, one hundred thirty million, four hundred twenty-one thousand, four hundred forty".