2585382100 has 216 divisors, whose sum is σ = 7088030712. Its totient is φ = 812851200.

The previous prime is 2585382073. The next prime is 2585382127. The reversal of 2585382100 is 12835852.

It is an interprime number because it is at equal distance from previous prime (2585382073) and next prime (2585382127).

It can be written as a sum of positive squares in 12 ways, for example, as 847159236 + 1738222864 = 29106^2 + 41692^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3414922 + ... + 3415678.

It is an arithmetic number, because the mean of its divisors is an integer number (32814957).

Almost surely, 2^2585382100 is an apocalyptic number.

2585382100 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 2585382100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544015356).

2585382100 is an abundant number, since it is smaller than the sum of its proper divisors (4502648612).

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

2585382100 is a wasteful number, since it uses less digits than its factorization.

2585382100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 2585382100 is about 50846.6527905230. The cubic root of 2585382100 is about 1372.4870199380.

The spelling of 2585382100 in words is "two billion, five hundred eighty-five million, three hundred eighty-two thousand, one hundred".