2439164682240 has 896 divisors, whose sum is σ = 9249989640192. Its totient is φ = 541033758720.

The previous prime is 2439164682181. The next prime is 2439164682277. The reversal of 2439164682240 is 422864619342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2231623134 + ... + 2231624226.

It is an arithmetic number, because the mean of its divisors is an integer number (10323649152).

Almost surely, 2^{2439164682240} is an apocalyptic number.

2439164682240 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 2439164682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624994820096).

2439164682240 is an abundant number, since it is smaller than the sum of its proper divisors (6810824957952).

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

2439164682240 is a wasteful number, since it uses less digits than its factorization.

2439164682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 2439164682240 in words is "two trillion, four hundred thirty-nine billion, one hundred sixty-four million, six hundred eighty-two thousand, two hundred forty".