2528472240 has 320 divisors, whose sum is σ = 10187443200. Its totient is φ = 564350976.

The previous prime is 2528472229. The next prime is 2528472263. The reversal of 2528472240 is 422748252.

2528472240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2528472195 and 2528472204.

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, 648216 + ... + 652104.

It is an arithmetic number, because the mean of its divisors is an integer number (31835760).

Almost surely, 2^2528472240 is an apocalyptic number.

2528472240 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 2528472240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093721600).

2528472240 is an abundant number, since it is smaller than the sum of its proper divisors (7658970960).

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

2528472240 is a wasteful number, since it uses less digits than its factorization.

2528472240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2528472240 is about 50283.9163152593. The cubic root of 2528472240 is about 1362.3417411785.

The spelling of 2528472240 in words is "two billion, five hundred twenty-eight million, four hundred seventy-two thousand, two hundred forty".