2535376800 has 288 divisors, whose sum is σ = 9081543744. Its totient is φ = 609280000.

The previous prime is 2535376771. The next prime is 2535376859. The reversal of 2535376800 is 86735352.

2535376800 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3616450 + ... + 3617150.

It is an arithmetic number, because the mean of its divisors is an integer number (31533138).

Almost surely, 2^2535376800 is an apocalyptic number.

2535376800 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 2535376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540771872).

2535376800 is an abundant number, since it is smaller than the sum of its proper divisors (6546166944).

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

2535376800 is a wasteful number, since it uses less digits than its factorization.

2535376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 2535376800 is about 50352.5252594147. The cubic root of 2535376800 is about 1363.5806739277.

The spelling of 2535376800 in words is "two billion, five hundred thirty-five million, three hundred seventy-six thousand, eight hundred".