2528064000 has 1280 divisors, whose sum is σ = 12256358400. Its totient is φ = 497664000.

The previous prime is 2528063969. The next prime is 2528064047. The reversal of 2528064000 is 4608252.

2528064000 is a `hidden beast` number, since 252 + 8 + 0 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×2528064000² = 12782215176192000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133055991 + ... + 133056009.

It is an arithmetic number, because the mean of its divisors is an integer number (9575280).

Almost surely, 2^2528064000 is an apocalyptic number.

2528064000 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 2528064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128179200).

2528064000 is an abundant number, since it is smaller than the sum of its proper divisors (9728294400).

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

2528064000 is a wasteful number, since it uses less digits than its factorization.

2528064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2528064000 is about 50279.8568017054. The cubic root of 2528064000 is about 1362.2684172798.

The spelling of 2528064000 in words is "two billion, five hundred twenty-eight million, sixty-four thousand".