2825509500 has 384 divisors, whose sum is σ = 10189670400. Its totient is φ = 670176000.

The previous prime is 2825509483. The next prime is 2825509507. The reversal of 2825509500 is 59055282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825509507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7870321 + ... + 7870679.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^2825509500 is an apocalyptic number.

2825509500 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 2825509500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2825509500 is an abundant number, since it is smaller than the sum of its proper divisors (7364160900).

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

2825509500 is a wasteful number, since it uses less digits than its factorization.

2825509500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 2825509500 is about 53155.5218204092. The cubic root of 2825509500 is about 1413.7271242842.

The spelling of 2825509500 in words is "two billion, eight hundred twenty-five million, five hundred nine thousand, five hundred".