2582268528 has 80 divisors (see below), whose sum is σ = 7631027456. Its totient is φ = 737095680.

The previous prime is 2582268523. The next prime is 2582268539. The reversal of 2582268528 is 8258622852.

It is a super-2 number, since 2×2582268528² = 13336221501398573568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582268523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430800 + ... + 436752.

Almost surely, 2^2582268528 is an apocalyptic number.

2582268528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2582268528 is an abundant number, since it is smaller than the sum of its proper divisors (5048758928).

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

2582268528 is a wasteful number, since it uses less digits than its factorization.

2582268528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7256 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 2582268528 is about 50816.0262909252. The cubic root of 2582268528 is about 1371.9358372247.

The spelling of 2582268528 in words is "two billion, five hundred eighty-two million, two hundred sixty-eight thousand, five hundred twenty-eight".