2582803200 has 432 divisors, whose sum is σ = 9293217696. Its totient is φ = 629145600.

The previous prime is 2582803199. The next prime is 2582803243. The reversal of 2582803200 is 23082852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13382304 + ... + 13382496.

It is an arithmetic number, because the mean of its divisors is an integer number (21512078).

Almost surely, 2^2582803200 is an apocalyptic number.

2582803200 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 2582803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646608848).

2582803200 is an abundant number, since it is smaller than the sum of its proper divisors (6710414496).

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

2582803200 is a wasteful number, since it uses less digits than its factorization.

2582803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2582803200 is about 50821.2868786299. The cubic root of 2582803200 is about 1372.0305194842.

The spelling of 2582803200 in words is "two billion, five hundred eighty-two million, eight hundred three thousand, two hundred".