2440252879680 has 896 divisors, whose sum is σ = 10243868995584. Its totient is φ = 476489318400.

The previous prime is 2440252879633. The next prime is 2440252879681. The reversal of 2440252879680 is 869782520442.

It is a self number, because there is not a number n which added to its sum of digits gives 2440252879680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440252879681) 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, 1139771410 + ... + 1139773550.

It is an arithmetic number, because the mean of its divisors is an integer number (11432889504).

Almost surely, 2^{2440252879680} is an apocalyptic number.

2440252879680 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 2440252879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121934497792).

2440252879680 is an abundant number, since it is smaller than the sum of its proper divisors (7803616115904).

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

2440252879680 is a wasteful number, since it uses less digits than its factorization.

2440252879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 2440252879680 in words is "two trillion, four hundred forty billion, two hundred fifty-two million, eight hundred seventy-nine thousand, six hundred eighty".