2581555200 has 432 divisors, whose sum is σ = 9956550240. Its totient is φ = 590069760.

The previous prime is 2581555183. The next prime is 2581555211. The reversal of 2581555200 is 25551852.

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, 368793597 + ... + 368793603.

It is an arithmetic number, because the mean of its divisors is an integer number (23047570).

Almost surely, 2^2581555200 is an apocalyptic number.

2581555200 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 2581555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978275120).

2581555200 is an abundant number, since it is smaller than the sum of its proper divisors (7374995040).

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

2581555200 is an frugal number, since it uses more digits than its factorization.

2581555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The square root of 2581555200 is about 50809.0070755176. The cubic root of 2581555200 is about 1371.8094973594.

The spelling of 2581555200 in words is "two billion, five hundred eighty-one million, five hundred fifty-five thousand, two hundred".