2545664000 has 240 divisors, whose sum is σ = 6992739936. Its totient is φ = 917504000.

The previous prime is 2545663979. The next prime is 2545664029. The reversal of 2545664000 is 4665452.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 22527944 + ... + 22528056.

Almost surely, 2^2545664000 is an apocalyptic number.

2545664000 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 2545664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496369968).

2545664000 is an abundant number, since it is smaller than the sum of its proper divisors (4447075936).

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

2545664000 is an equidigital number, since it uses as much as digits as its factorization.

2545664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2545664000 is about 50454.5736281658. The cubic root of 2545664000 is about 1365.4224117229.

The spelling of 2545664000 in words is "two billion, five hundred forty-five million, six hundred sixty-four thousand".