2532700800 has 576 divisors, whose sum is σ = 10950638400. Its totient is φ = 544112640.

The previous prime is 2532700799. The next prime is 2532700813. The reversal of 2532700800 is 80072352.

2532700800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3426831 + ... + 3427569.

It is an arithmetic number, because the mean of its divisors is an integer number (19011525).

Almost surely, 2^2532700800 is an apocalyptic number.

2532700800 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 2532700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475319200).

2532700800 is an abundant number, since it is smaller than the sum of its proper divisors (8417937600).

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

2532700800 is a wasteful number, since it uses less digits than its factorization.

2532700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2532700800 is about 50325.9455946930. The cubic root of 2532700800 is about 1363.1007680859.

The spelling of 2532700800 in words is "two billion, five hundred thirty-two million, seven hundred thousand, eight hundred".