2587430790 has 320 divisors, whose sum is σ = 8293824000. Its totient is φ = 578394432.

The previous prime is 2587430789. The next prime is 2587430851. The reversal of 2587430790 is 970347852.

2587430790 is a `hidden beast` number, since 258 + 7 + 4 + 307 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18614541 + ... + 18614679.

It is an arithmetic number, because the mean of its divisors is an integer number (25918200).

Almost surely, 2^2587430790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2587430790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146912000).

2587430790 is an abundant number, since it is smaller than the sum of its proper divisors (5706393210).

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

2587430790 is a wasteful number, since it uses less digits than its factorization.

2587430790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2587430790 is about 50866.7945717046. The cubic root of 2587430790 is about 1372.8494496742.

The spelling of 2587430790 in words is "two billion, five hundred eighty-seven million, four hundred thirty thousand, seven hundred ninety".