2528634240 has 512 divisors, whose sum is σ = 9993715200. Its totient is φ = 599040000.

The previous prime is 2528634239. The next prime is 2528634253. The reversal of 2528634240 is 424368252.

2528634240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2528634240² = 12787982239400755200, which contains 22 as substring.

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 = 2528634195 and 2528634204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10074115 + ... + 10074365.

It is an arithmetic number, because the mean of its divisors is an integer number (19518975).

Almost surely, 2^2528634240 is an apocalyptic number.

2528634240 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 2528634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996857600).

2528634240 is an abundant number, since it is smaller than the sum of its proper divisors (7465080960).

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

2528634240 is a wasteful number, since it uses less digits than its factorization.

2528634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2528634240 is about 50285.5271425089. The cubic root of 2528634240 is about 1362.3708357763.

The spelling of 2528634240 in words is "two billion, five hundred twenty-eight million, six hundred thirty-four thousand, two hundred forty".