2507243952 has 160 divisors (see below), whose sum is σ = 7206681600. Its totient is φ = 747823104.

The previous prime is 2507243939. The next prime is 2507243953. The reversal of 2507243952 is 2593427052.

It is a self number, because there is not a number n which added to its sum of digits gives 2507243952.

It is not an unprimeable number, because it can be changed into a prime (2507243953) 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, 1242048 + ... + 1244064.

It is an arithmetic number, because the mean of its divisors is an integer number (45041760).

Almost surely, 2^2507243952 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 2507243952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603340800).

2507243952 is an abundant number, since it is smaller than the sum of its proper divisors (4699437648).

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

2507243952 is a wasteful number, since it uses less digits than its factorization.

2507243952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 2507243952 is about 50072.3871210471. The cubic root of 2507243952 is about 1358.5184182720.

The spelling of 2507243952 in words is "two billion, five hundred seven million, two hundred forty-three thousand, nine hundred fifty-two".