2587143240 has 192 divisors, whose sum is σ = 9512717760. Its totient is φ = 627160320.

The previous prime is 2587143239. The next prime is 2587143241. The reversal of 2587143240 is 423417852.

It is a happy number.

2587143240 is a `hidden beast` number, since 2 + 587 + 1 + 4 + 32 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2587143239) and next prime (2587143241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2587143195 and 2587143204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587143241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 94822 + ... + 119018.

It is an arithmetic number, because the mean of its divisors is an integer number (49545405).

Almost surely, 2^2587143240 is an apocalyptic number.

2587143240 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 2587143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756358880).

2587143240 is an abundant number, since it is smaller than the sum of its proper divisors (6925574520).

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

2587143240 is a wasteful number, since it uses less digits than its factorization.

2587143240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24234 (or 24218 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2587143240 is about 50863.9679930695. The cubic root of 2587143240 is about 1372.7985913111.

The spelling of 2587143240 in words is "two billion, five hundred eighty-seven million, one hundred forty-three thousand, two hundred forty".