2526776252 has 96 divisors (see below), whose sum is σ = 5984993280. Its totient is φ = 901393920.

The previous prime is 2526776207. The next prime is 2526776257.

It is a happy number.

2526776252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2526776257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506024 + ... + 510992.

It is an arithmetic number, because the mean of its divisors is an integer number (62343680).

Almost surely, 2^2526776252 is an apocalyptic number.

2526776252 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 2526776252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992496640).

2526776252 is an abundant number, since it is smaller than the sum of its proper divisors (3458217028).

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

2526776252 is a wasteful number, since it uses less digits than its factorization.

2526776252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5129 counting only the distinct ones).

The product of its digits is 705600, while the sum is 44.

The square root of 2526776252 is about 50267.0493663593. The cubic root of 2526776252 is about 1362.0370734035.

The spelling of 2526776252 in words is "two billion, five hundred twenty-six million, seven hundred seventy-six thousand, two hundred fifty-two".