2587150646640 has 480 divisors, whose sum is σ = 10472064744960. Its totient is φ = 581324055552.

The previous prime is 2587150646611. The next prime is 2587150646653. The reversal of 2587150646640 is 466460517852.

2587150646640 is a `hidden beast` number, since 2 + 5 + 8 + 71 + 506 + 4 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7867602 + ... + 8189838.

It is an arithmetic number, because the mean of its divisors is an integer number (21816801552).

Almost surely, 2^{2587150646640} is an apocalyptic number.

2587150646640 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 2587150646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236032372480).

2587150646640 is an abundant number, since it is smaller than the sum of its proper divisors (7884914098320).

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

2587150646640 is a wasteful number, since it uses less digits than its factorization.

2587150646640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322331 (or 322313 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2587150646640 in words is "two trillion, five hundred eighty-seven billion, one hundred fifty million, six hundred forty-six thousand, six hundred forty".