2528952720 has 320 divisors, whose sum is σ = 9447014400. Its totient is φ = 558835200.

The previous prime is 2528952683. The next prime is 2528952737. The reversal of 2528952720 is 272598252.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2551425 + ... + 2552415.

It is an arithmetic number, because the mean of its divisors is an integer number (29521920).

Almost surely, 2^2528952720 is an apocalyptic number.

2528952720 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 2528952720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723507200).

2528952720 is an abundant number, since it is smaller than the sum of its proper divisors (6918061680).

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

2528952720 is a wasteful number, since it uses less digits than its factorization.

2528952720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 2528952720 is about 50288.6937591344. The cubic root of 2528952720 is about 1362.4280299779.

The spelling of 2528952720 in words is "two billion, five hundred twenty-eight million, nine hundred fifty-two thousand, seven hundred twenty".