2032130406240 has 768 divisors, whose sum is σ = 8228785904640. Its totient is φ = 462907146240.

The previous prime is 2032130406239. The next prime is 2032130406247. The reversal of 2032130406240 is 426040312302.

2032130406240 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 1 + 30 + 4 + 0 + 624 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032130406247) 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 127 ways as a sum of consecutive naturals, for example, 611533219 + ... + 611536541.

It is an arithmetic number, because the mean of its divisors is an integer number (10714564980).

Almost surely, 2^{2032130406240} is an apocalyptic number.

2032130406240 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 2032130406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114392952320).

2032130406240 is an abundant number, since it is smaller than the sum of its proper divisors (6196655498400).

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

2032130406240 is a wasteful number, since it uses less digits than its factorization.

2032130406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2032130406240 its reverse (426040312302), we get a palindrome (2458170718542).

The spelling of 2032130406240 in words is "two trillion, thirty-two billion, one hundred thirty million, four hundred six thousand, two hundred forty".