2441761560 has 192 divisors, whose sum is σ = 9290998080. Its totient is φ = 544481280.

The previous prime is 2441761541. The next prime is 2441761571. The reversal of 2441761560 is 651671442.

2441761560 is a `hidden beast` number, since 24 + 4 + 1 + 76 + 1 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91504 + ... + 115136.

It is an arithmetic number, because the mean of its divisors is an integer number (48390615).

Almost surely, 2^2441761560 is an apocalyptic number.

2441761560 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 2441761560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645499040).

2441761560 is an abundant number, since it is smaller than the sum of its proper divisors (6849236520).

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

2441761560 is a wasteful number, since it uses less digits than its factorization.

2441761560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23698 (or 23691 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2441761560 is about 49414.1837937247. The cubic root of 2441761560 is about 1346.5870001015.

The spelling of 2441761560 in words is "two billion, four hundred forty-one million, seven hundred sixty-one thousand, five hundred sixty".