2500545600 has 336 divisors, whose sum is σ = 10418876800. Its totient is φ = 571484160.

The previous prime is 2500545587. The next prime is 2500545601. The reversal of 2500545600 is 65450052.

2500545600 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 54 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500545601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298266 + ... + 306534.

Almost surely, 2^2500545600 is an apocalyptic number.

2500545600 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 2500545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209438400).

2500545600 is an abundant number, since it is smaller than the sum of its proper divisors (7918331200).

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

2500545600 is a wasteful number, since it uses less digits than its factorization.

2500545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8307 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2500545600 is about 50005.4557023531. The cubic root of 2500545600 is about 1357.3075335326.

Adding to 2500545600 its reverse (65450052), we get a palindrome (2565995652).

The spelling of 2500545600 in words is "two billion, five hundred million, five hundred forty-five thousand, six hundred".