2440455970680 has 768 divisors, whose sum is σ = 9971724672000. Its totient is φ = 503916650496.

The previous prime is 2440455970633. The next prime is 2440455970697. The reversal of 2440455970680 is 860795540442.

2440455970680 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 4 + 559 + 7 + 0 + 6 + 80 = 666.

2440455970680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2440455970680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 450349011 + ... + 450354429.

It is an arithmetic number, because the mean of its divisors is an integer number (12984016500).

Almost surely, 2^{2440455970680} is an apocalyptic number.

2440455970680 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 2440455970680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985862336000).

2440455970680 is an abundant number, since it is smaller than the sum of its proper divisors (7531268701320).

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

2440455970680 is a wasteful number, since it uses less digits than its factorization.

2440455970680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2440455970680 in words is "two trillion, four hundred forty billion, four hundred fifty-five million, nine hundred seventy thousand, six hundred eighty".