2580671200 has 216 divisors, whose sum is σ = 6864638760. Its totient is φ = 944640000.

The previous prime is 2580671183. The next prime is 2580671221. The reversal of 2580671200 is 21760852.

2580671200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25551150 + ... + 25551250.

It is an arithmetic number, because the mean of its divisors is an integer number (31780735).

Almost surely, 2^2580671200 is an apocalyptic number.

2580671200 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 2580671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432319380).

2580671200 is an abundant number, since it is smaller than the sum of its proper divisors (4283967560).

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

2580671200 is a wasteful number, since it uses less digits than its factorization.

2580671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 2580671200 is about 50800.3070856860. The cubic root of 2580671200 is about 1371.6528969193.

The spelling of 2580671200 in words is "two billion, five hundred eighty million, six hundred seventy-one thousand, two hundred".