2587479552 has 240 divisors, whose sum is σ = 8853516672. Its totient is φ = 739031040.

The previous prime is 2587479541. The next prime is 2587479569. The reversal of 2587479552 is 2559747852.

2587479552 is a `hidden beast` number, since 2 + 5 + 87 + 4 + 7 + 9 + 552 = 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869427 + ... + 872397.

Almost surely, 2^2587479552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2587479552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426758336).

2587479552 is an abundant number, since it is smaller than the sum of its proper divisors (6266037120).

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

2587479552 is an frugal number, since it uses more digits than its factorization.

2587479552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2983 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The square root of 2587479552 is about 50867.2738801678. The cubic root of 2587479552 is about 1372.8580737328.

The spelling of 2587479552 in words is "two billion, five hundred eighty-seven million, four hundred seventy-nine thousand, five hundred fifty-two".