2534485200 has 240 divisors, whose sum is σ = 8981675136. Its totient is φ = 606873600.

The previous prime is 2534485181. The next prime is 2534485211. The reversal of 2534485200 is 25844352.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 575005 + ... + 579395.

Almost surely, 2^2534485200 is an apocalyptic number.

2534485200 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 2534485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490837568).

2534485200 is an abundant number, since it is smaller than the sum of its proper divisors (6447189936).

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

2534485200 is a wasteful number, since it uses less digits than its factorization.

2534485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2534485200 is about 50343.6709031036. The cubic root of 2534485200 is about 1363.4208145766.

The spelling of 2534485200 in words is "two billion, five hundred thirty-four million, four hundred eighty-five thousand, two hundred".