2463781680 has 180 divisors, whose sum is σ = 8733525840. Its totient is φ = 622363392.

The previous prime is 2463781669. The next prime is 2463781693. The reversal of 2463781680 is 861873642.

2463781680 is a `hidden beast` number, since 2 + 4 + 637 + 8 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255181 + ... + 264659.

It is an arithmetic number, because the mean of its divisors is an integer number (48519588).

Almost surely, 2^2463781680 is an apocalyptic number.

2463781680 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 2463781680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366762920).

2463781680 is an abundant number, since it is smaller than the sum of its proper divisors (6269744160).

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

2463781680 is a wasteful number, since it uses less digits than its factorization.

2463781680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2463781680 is about 49636.4954443804. The cubic root of 2463781680 is about 1350.6227908352.

The spelling of 2463781680 in words is "two billion, four hundred sixty-three million, seven hundred eighty-one thousand, six hundred eighty".