2526312768 has 112 divisors (see below), whose sum is σ = 7694615040. Its totient is φ = 716557824.

The previous prime is 2526312689. The next prime is 2526312769. The reversal of 2526312768 is 8672136252.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2526312769) 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 15 ways as a sum of consecutive naturals, for example, 180055 + ... + 193577.

It is an arithmetic number, because the mean of its divisors is an integer number (68701920).

Almost surely, 2^2526312768 is an apocalyptic number.

2526312768 is a gapful number since it is divisible by the number (28) 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 2526312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847307520).

2526312768 is an abundant number, since it is smaller than the sum of its proper divisors (5168302272).

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

2526312768 is a wasteful number, since it uses less digits than its factorization.

2526312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13684 (or 13674 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2526312768 is about 50262.4389380380. The cubic root of 2526312768 is about 1361.9537892856.

The spelling of 2526312768 in words is "two billion, five hundred twenty-six million, three hundred twelve thousand, seven hundred sixty-eight".