2587200 has 252 divisors, whose sum is σ = 10771632. Its totient is φ = 537600.

The previous prime is 2587187. The next prime is 2587217. The reversal of 2587200 is 27852.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 235195 + ... + 235205.

2^2587200 is an apocalyptic number.

2587200 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 2587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385816).

2587200 is an abundant number, since it is smaller than the sum of its proper divisors (8184432).

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

2587200 is a wasteful number, since it uses less digits than its factorization.

2587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2587200 is about 1608.4775410306. The cubic root of 2587200 is about 137.2808630631.

The spelling of 2587200 in words is "two million, five hundred eighty-seven thousand, two hundred".