2587940500 has 48 divisors (see below), whose sum is σ = 5789963088. Its totient is φ = 1009920000.

The previous prime is 2587940491. The next prime is 2587940507. The reversal of 2587940500 is 50497852.

It can be written as a sum of positive squares in 8 ways, for example, as 2180142864 + 407797636 = 46692^2 + 20194^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587940507) 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 15 ways as a sum of consecutive naturals, for example, 42621 + ... + 83620.

It is an arithmetic number, because the mean of its divisors is an integer number (120624231).

Almost surely, 2^2587940500 is an apocalyptic number.

2587940500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2587940500 is an abundant number, since it is smaller than the sum of its proper divisors (3202022588).

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

2587940500 is a wasteful number, since it uses less digits than its factorization.

2587940500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126301 (or 126289 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 2587940500 is about 50871.8045679530. The cubic root of 2587940500 is about 1372.9395917502.

The spelling of 2587940500 in words is "two billion, five hundred eighty-seven million, nine hundred forty thousand, five hundred".