2567243052 has 96 divisors (see below), whose sum is σ = 7495219200. Its totient is φ = 752846400.

The previous prime is 2567243047. The next prime is 2567243057. The reversal of 2567243052 is 2503427652.

2567243052 is a `hidden beast` number, since 2 + 567 + 2 + 43 + 0 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (2567243047) and next prime (2567243057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2567242998 and 2567243016.

It is not an unprimeable number, because it can be changed into a prime (2567243057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974 + ... + 71682.

It is an arithmetic number, because the mean of its divisors is an integer number (78075200).

Almost surely, 2^2567243052 is an apocalyptic number.

2567243052 is a gapful number since it is divisible by the number (22) 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 2567243052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747609600).

2567243052 is an abundant number, since it is smaller than the sum of its proper divisors (4927976148).

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

2567243052 is a wasteful number, since it uses less digits than its factorization.

2567243052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69764 (or 69756 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2567243052 is about 50667.9686981825. The cubic root of 2567243052 is about 1369.2696929916.

The spelling of 2567243052 in words is "two billion, five hundred sixty-seven million, two hundred forty-three thousand, fifty-two".