2132440002240 has 224 divisors, whose sum is σ = 6965695349760. Its totient is φ = 552488656896.

The previous prime is 2132440002227. The next prime is 2132440002269. The reversal of 2132440002240 is 422000442312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2132440002240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4468281 + ... + 4922439.

It is an arithmetic number, because the mean of its divisors is an integer number (31096854240).

Almost surely, 2^{2132440002240} is an apocalyptic number.

2132440002240 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 2132440002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482847674880).

2132440002240 is an abundant number, since it is smaller than the sum of its proper divisors (4833255347520).

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

2132440002240 is a wasteful number, since it uses less digits than its factorization.

2132440002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454319 (or 454309 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2132440002240 its reverse (422000442312), we get a palindrome (2554440444552).

The spelling of 2132440002240 in words is "two trillion, one hundred thirty-two billion, four hundred forty million, two thousand, two hundred forty".