2523769344 has 120 divisors (see below), whose sum is σ = 7303544820. Its totient is φ = 838975488.

The previous prime is 2523769321. The next prime is 2523769349. The reversal of 2523769344 is 4439673252.

It can be written as a sum of positive squares in 2 ways, for example, as 1788274944 + 735494400 = 42288^2 + 27120^2 .

It is a super-3 number, since 3×2523769344³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2523769344.

It is not an unprimeable number, because it can be changed into a prime (2523769349) 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 11 ways as a sum of consecutive naturals, for example, 3119212 + ... + 3120020.

Almost surely, 2^2523769344 is an apocalyptic number.

2523769344 is a gapful number since it is divisible by the number (24) 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 2523769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651772410).

2523769344 is an abundant number, since it is smaller than the sum of its proper divisors (4779775476).

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

2523769344 is an equidigital number, since it uses as much as digits as its factorization.

2523769344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1491 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 2523769344 is about 50237.1311282800. The cubic root of 2523769344 is about 1361.4965762879.

The spelling of 2523769344 in words is "two billion, five hundred twenty-three million, seven hundred sixty-nine thousand, three hundred forty-four".