2440868844960 has 2304 divisors, whose sum is σ = 10908381818880. Its totient is φ = 483490529280.

The previous prime is 2440868844943. The next prime is 2440868844971. The reversal of 2440868844960 is 694488680442.

2440868844960 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 8 + 68 + 84 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27425492596 + ... + 27425492684.

It is an arithmetic number, because the mean of its divisors is an integer number (4734540720).

Almost surely, 2^{2440868844960} is an apocalyptic number.

2440868844960 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 2440868844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454190909440).

2440868844960 is an abundant number, since it is smaller than the sum of its proper divisors (8467512973920).

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

2440868844960 is a wasteful number, since it uses less digits than its factorization.

2440868844960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 2440868844960 in words is "two trillion, four hundred forty billion, eight hundred sixty-eight million, eight hundred forty-four thousand, nine hundred sixty".