2672524800 has 960 divisors, whose sum is σ = 11568902400. Its totient is φ = 597196800.

The previous prime is 2672524651. The next prime is 2672524801. The reversal of 2672524800 is 84252762.

2672524800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672524801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72230382 + ... + 72230418.

It is an arithmetic number, because the mean of its divisors is an integer number (12050940).

Almost surely, 2^2672524800 is an apocalyptic number.

2672524800 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 2672524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784451200).

2672524800 is an abundant number, since it is smaller than the sum of its proper divisors (8896377600).

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

2672524800 is a wasteful number, since it uses less digits than its factorization.

2672524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2672524800 is about 51696.4679644558. The cubic root of 2672524800 is about 1387.7372567251.

The spelling of 2672524800 in words is "two billion, six hundred seventy-two million, five hundred twenty-four thousand, eight hundred".