2528778252 has 192 divisors, whose sum is σ = 8179089408. Its totient is φ = 586656000.

The previous prime is 2528778233. The next prime is 2528778257.

2528778252 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2528778257) 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 63 ways as a sum of consecutive naturals, for example, 368977 + ... + 375767.

It is an arithmetic number, because the mean of its divisors is an integer number (42599424).

Almost surely, 2^2528778252 is an apocalyptic number.

2528778252 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 2528778252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089544704).

2528778252 is an abundant number, since it is smaller than the sum of its proper divisors (5650311156).

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

2528778252 is a wasteful number, since it uses less digits than its factorization.

2528778252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 6858 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 2528778252 is about 50286.9590649504. The cubic root of 2528778252 is about 1362.3966987529.

The spelling of 2528778252 in words is "two billion, five hundred twenty-eight million, seven hundred seventy-eight thousand, two hundred fifty-two".