2587574052 has 192 divisors, whose sum is σ = 8130662400. Its totient is φ = 695174400.

The previous prime is 2587574051. The next prime is 2587574089. The reversal of 2587574052 is 2504757852.

2587574052 is a `hidden beast` number, since 25 + 8 + 7 + 574 + 0 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2587573989 and 2587574007.

It is not an unprimeable number, because it can be changed into a prime (2587574051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2168368 + ... + 2169560.

It is an arithmetic number, because the mean of its divisors is an integer number (42347200).

Almost surely, 2^2587574052 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 2587574052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065331200).

2587574052 is an abundant number, since it is smaller than the sum of its proper divisors (5543088348).

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

2587574052 is a wasteful number, since it uses less digits than its factorization.

2587574052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 2587574052 is about 50868.2027596808. The cubic root of 2587574052 is about 1372.8747867162.

The spelling of 2587574052 in words is "two billion, five hundred eighty-seven million, five hundred seventy-four thousand, fifty-two".