2528849440 has 96 divisors (see below), whose sum is σ = 6462167040. Its totient is φ = 929639424.

The previous prime is 2528849419. The next prime is 2528849497. The reversal of 2528849440 is 449488252.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494577 + ... + 499663.

It is an arithmetic number, because the mean of its divisors is an integer number (67314240).

Almost surely, 2^2528849440 is an apocalyptic number.

2528849440 is a gapful number since it is divisible by the number (20) 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 2528849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231083520).

2528849440 is an abundant number, since it is smaller than the sum of its proper divisors (3933317600).

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

2528849440 is a wasteful number, since it uses less digits than its factorization.

2528849440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The square root of 2528849440 is about 50287.6668776749. Note that the first 3 decimals coincide. The cubic root of 2528849440 is about 1362.4094829747.

The spelling of 2528849440 in words is "two billion, five hundred twenty-eight million, eight hundred forty-nine thousand, four hundred forty".