2528409624 has 128 divisors (see below), whose sum is σ = 6909504000. Its totient is φ = 766402560.

The previous prime is 2528409623. The next prime is 2528409641. The reversal of 2528409624 is 4269048252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528409623) 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, 11982879 + ... + 11983089.

It is an arithmetic number, because the mean of its divisors is an integer number (53980500).

Almost surely, 2^2528409624 is an apocalyptic number.

2528409624 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 2528409624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454752000).

2528409624 is an abundant number, since it is smaller than the sum of its proper divisors (4381094376).

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

2528409624 is a wasteful number, since it uses less digits than its factorization.

2528409624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2528409624 is about 50283.2936868698. The cubic root of 2528409624 is about 1362.3304952447.

The spelling of 2528409624 in words is "two billion, five hundred twenty-eight million, four hundred nine thousand, six hundred twenty-four".