2587092480 has 320 divisors, whose sum is σ = 10504327680. Its totient is φ = 591224832.

The previous prime is 2587092467. The next prime is 2587092481. The reversal of 2587092480 is 842907852.

2587092480 is a `hidden beast` number, since 2 + 5 + 87 + 0 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587092481) 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 31 ways as a sum of consecutive naturals, for example, 481167 + ... + 486513.

It is an arithmetic number, because the mean of its divisors is an integer number (32826024).

Almost surely, 2^2587092480 is an apocalyptic number.

2587092480 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 2587092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252163840).

2587092480 is an abundant number, since it is smaller than the sum of its proper divisors (7917235200).

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

2587092480 is an equidigital number, since it uses as much as digits as its factorization.

2587092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2587092480 is about 50863.4690126421. The cubic root of 2587092480 is about 1372.7896131054.

The spelling of 2587092480 in words is "two billion, five hundred eighty-seven million, ninety-two thousand, four hundred eighty".