2840537831964 has 576 divisors, whose sum is σ = 8946245468160. Its totient is φ = 695079221760.

The previous prime is 2840537831897. The next prime is 2840537832061. The reversal of 2840537831964 is 4691387350482.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2840537831898 and 2840537831907.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 342518202 + ... + 342526494.

It is an arithmetic number, because the mean of its divisors is an integer number (15531676160).

It is a 1-persistent number, because it is pandigital, but 2⋅2840537831964 = 5681075663928 is not.

Almost surely, 2^{2840537831964} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2840537831964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473122734080).

2840537831964 is an abundant number, since it is smaller than the sum of its proper divisors (6105707636196).

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

2840537831964 is a wasteful number, since it uses less digits than its factorization.

2840537831964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 2840537831964 in words is "two trillion, eight hundred forty billion, five hundred thirty-seven million, eight hundred thirty-one thousand, nine hundred sixty-four".