2487746560 has 160 divisors (see below), whose sum is σ = 6517942200. Its totient is φ = 905969664.

The previous prime is 2487746549. The next prime is 2487746581. The reversal of 2487746560 is 656477842.

It can be written as a sum of positive squares in 4 ways, for example, as 1636040704 + 851705856 = 40448^2 + 29184^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34078684 + ... + 34078756.

Almost surely, 2^2487746560 is an apocalyptic number.

2487746560 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 2487746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258971100).

2487746560 is an abundant number, since it is smaller than the sum of its proper divisors (4030195640).

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

2487746560 is an frugal number, since it uses more digits than its factorization.

2487746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The square root of 2487746560 is about 49877.3150841141. The cubic root of 2487746560 is about 1354.9877787417.

The spelling of 2487746560 in words is "two billion, four hundred eighty-seven million, seven hundred forty-six thousand, five hundred sixty".