2140430511024 has 240 divisors, whose sum is σ = 6882197680800. Its totient is φ = 635883236352.

The previous prime is 2140430511017. The next prime is 2140430511029. The reversal of 2140430511024 is 4201150340412.

2140430511024 is a `hidden beast` number, since 2 + 140 + 4 + 3 + 0 + 511 + 0 + 2 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2140430511029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1611754 + ... + 2622710.

It is an arithmetic number, because the mean of its divisors is an integer number (28675823670).

Almost surely, 2^{2140430511024} is an apocalyptic number.

2140430511024 is a gapful number since it is divisible by the number (24) 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 2140430511024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441098840400).

2140430511024 is an abundant number, since it is smaller than the sum of its proper divisors (4741767169776).

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

2140430511024 is a wasteful number, since it uses less digits than its factorization.

2140430511024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011029 (or 1011004 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2140430511024 its reverse (4201150340412), we get a palindrome (6341580851436).

The spelling of 2140430511024 in words is "two trillion, one hundred forty billion, four hundred thirty million, five hundred eleven thousand, twenty-four".