2545860889600 has 528 divisors, whose sum is σ = 7768761299200. Its totient is φ = 807648952320.

The previous prime is 2545860889577. The next prime is 2545860889609. The reversal of 2545860889600 is 69880685452.

It is not an unprimeable number, because it can be changed into a prime (2545860889609) 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, 146397706 + ... + 146415094.

Almost surely, 2^{2545860889600} is an apocalyptic number.

2545860889600 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 2545860889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884380649600).

2545860889600 is an abundant number, since it is smaller than the sum of its proper divisors (5222900409600).

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

2545860889600 is a wasteful number, since it uses less digits than its factorization.

2545860889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17488 (or 17465 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 61.

The spelling of 2545860889600 in words is "two trillion, five hundred forty-five billion, eight hundred sixty million, eight hundred eighty-nine thousand, six hundred".