2528005824 has 84 divisors (see below), whose sum is σ = 7257241264. Its totient is φ = 841370112.

The previous prime is 2528005811. The next prime is 2528005867. The reversal of 2528005824 is 4285008252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415734 + ... + 421770.

Almost surely, 2^2528005824 is an apocalyptic number.

2528005824 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 2528005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628620632).

2528005824 is an abundant number, since it is smaller than the sum of its proper divisors (4729235440).

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

2528005824 is a wasteful number, since it uses less digits than its factorization.

2528005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2528005824 is about 50279.2782764431. The cubic root of 2528005824 is about 1362.2579676584.

The spelling of 2528005824 in words is "two billion, five hundred twenty-eight million, five thousand, eight hundred twenty-four".