2481708960 has 144 divisors (see below), whose sum is σ = 8967086856. Its totient is φ = 622854144.

The previous prime is 2481708913. The next prime is 2481708973. The reversal of 2481708960 is 698071842.

It can be written as a sum of positive squares in 4 ways, for example, as 2476455696 + 5253264 = 49764^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26209 + ... + 75168.

Almost surely, 2^2481708960 is an apocalyptic number.

2481708960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2481708960 is an abundant number, since it is smaller than the sum of its proper divisors (6485377896).

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

2481708960 is a wasteful number, since it uses less digits than its factorization.

2481708960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101415 (or 101404 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2481708960 is about 49816.7538083324. The cubic root of 2481708960 is about 1353.8907348771.

The spelling of 2481708960 in words is "two billion, four hundred eighty-one million, seven hundred eight thousand, nine hundred sixty".