2130440240 has 80 divisors (see below), whose sum is σ = 5016916992. Its totient is φ = 841300992.

The previous prime is 2130440233. The next prime is 2130440267. The reversal of 2130440240 is 420440312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2130440240² = 9077551232422515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2813942 + ... + 2814698.

Almost surely, 2^2130440240 is an apocalyptic number.

2130440240 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 2130440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508458496).

2130440240 is an abundant number, since it is smaller than the sum of its proper divisors (2886476752).

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

2130440240 is a wasteful number, since it uses less digits than its factorization.

2130440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2130440240 is about 46156.6922558365. The cubic root of 2130440240 is about 1286.7369889468.

Adding to 2130440240 its reverse (420440312), we get a palindrome (2550880552).

The spelling of 2130440240 in words is "two billion, one hundred thirty million, four hundred forty thousand, two hundred forty".