2487892680 has 576 divisors, whose sum is σ = 10681070400. Its totient is φ = 496419840.

The previous prime is 2487892651. The next prime is 2487892711. The reversal of 2487892680 is 862987842.

2487892680 is a `hidden beast` number, since 2 + 487 + 89 + 2 + 6 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4356795 + ... + 4357365.

It is an arithmetic number, because the mean of its divisors is an integer number (18543525).

Almost surely, 2^2487892680 is an apocalyptic number.

2487892680 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 2487892680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340535200).

2487892680 is an abundant number, since it is smaller than the sum of its proper divisors (8193177720).

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

2487892680 is a wasteful number, since it uses less digits than its factorization.

2487892680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2487892680 is about 49878.7798567687. The cubic root of 2487892680 is about 1355.0143070252.

The spelling of 2487892680 in words is "two billion, four hundred eighty-seven million, eight hundred ninety-two thousand, six hundred eighty".