2441978703360 has 2560 divisors, whose sum is σ = 11082764943360. Its totient is φ = 496867737600.

The previous prime is 2441978703341. The next prime is 2441978703361. The reversal of 2441978703360 is 633078791442.

2441978703360 is a `hidden beast` number, since 2 + 4 + 419 + 78 + 70 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 = 2441978703297 and 2441978703306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441978703361) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15554004402 + ... + 15554004558.

It is an arithmetic number, because the mean of its divisors is an integer number (4329205056).

Almost surely, 2^{2441978703360} is an apocalyptic number.

2441978703360 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 2441978703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541382471680).

2441978703360 is an abundant number, since it is smaller than the sum of its proper divisors (8640786240000).

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

2441978703360 is a wasteful number, since it uses less digits than its factorization.

2441978703360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2441978703360 in words is "two trillion, four hundred forty-one billion, nine hundred seventy-eight million, seven hundred three thousand, three hundred sixty".