2545955200 has 96 divisors (see below), whose sum is σ = 6459586560. Its totient is φ = 990812160.

The previous prime is 2545955189. The next prime is 2545955219. The reversal of 2545955200 is 25595452.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2545955200.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 107649 + ... + 129151.

It is an arithmetic number, because the mean of its divisors is an integer number (67287360).

Almost surely, 2^2545955200 is an apocalyptic number.

2545955200 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 2545955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229793280).

2545955200 is an abundant number, since it is smaller than the sum of its proper divisors (3913631360).

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

2545955200 is a wasteful number, since it uses less digits than its factorization.

2545955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21564 (or 21547 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The square root of 2545955200 is about 50457.4593097988. The cubic root of 2545955200 is about 1365.4744735616.

The spelling of 2545955200 in words is "two billion, five hundred forty-five million, nine hundred fifty-five thousand, two hundred".