2528094240 has 432 divisors, whose sum is σ = 10415164032. Its totient is φ = 577414656.

The previous prime is 2528094221. The next prime is 2528094241. The reversal of 2528094240 is 424908252.

2528094240 is a `hidden beast` number, since 2 + 528 + 0 + 94 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 2528094195 and 2528094204.

It is not an unprimeable number, because it can be changed into a prime (2528094241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1904457 + ... + 1905783.

It is an arithmetic number, because the mean of its divisors is an integer number (24109176).

Almost surely, 2^2528094240 is an apocalyptic number.

2528094240 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 2528094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207582016).

2528094240 is an abundant number, since it is smaller than the sum of its proper divisors (7887069792).

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

2528094240 is a wasteful number, since it uses less digits than its factorization.

2528094240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2528094240 is about 50280.1575176530. The cubic root of 2528094240 is about 1362.2738489504.

It can be divided in two parts, 252809 and 4240, that added together give a square (257049 = 507²).

The spelling of 2528094240 in words is "two billion, five hundred twenty-eight million, ninety-four thousand, two hundred forty".