2440862760960 has 1152 divisors, whose sum is σ = 9533784395520. Its totient is φ = 596241285120.

The previous prime is 2440862760913. The next prime is 2440862760967. The reversal of 2440862760960 is 690672680442.

2440862760960 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 8 + 6 + 27 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2440862760960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2440862760897 and 2440862760906.

It is not an unprimeable number, because it can be changed into a prime (2440862760967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18632540095 + ... + 18632540225.

It is an arithmetic number, because the mean of its divisors is an integer number (8275854510).

Almost surely, 2^{2440862760960} is an apocalyptic number.

2440862760960 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 2440862760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766892197760).

2440862760960 is an abundant number, since it is smaller than the sum of its proper divisors (7092921634560).

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

2440862760960 is an frugal number, since it uses more digits than its factorization.

2440862760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2440862760960 in words is "two trillion, four hundred forty billion, eight hundred sixty-two million, seven hundred sixty thousand, nine hundred sixty".