2487395664 has 240 divisors, whose sum is σ = 8111480832. Its totient is φ = 704581632.

The previous prime is 2487395653. The next prime is 2487395671. The reversal of 2487395664 is 4665937842.

2487395664 is a `hidden beast` number, since 2 + 4 + 8 + 73 + 9 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2487395664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1494897 + ... + 1496559.

Almost surely, 2^2487395664 is an apocalyptic number.

2487395664 is a gapful number since it is divisible by the number (24) 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 2487395664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055740416).

2487395664 is an abundant number, since it is smaller than the sum of its proper divisors (5624085168).

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

2487395664 is a wasteful number, since it uses less digits than its factorization.

2487395664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1745 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 2487395664 is about 49873.7973689592. The cubic root of 2487395664 is about 1354.9240688559.

The spelling of 2487395664 in words is "two billion, four hundred eighty-seven million, three hundred ninety-five thousand, six hundred sixty-four".