2825897760 has 768 divisors, whose sum is σ = 12541132800. Its totient is φ = 579059712.

The previous prime is 2825897749. The next prime is 2825897771. The reversal of 2825897760 is 677985282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2825897749) and next prime (2825897771).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2825897697 and 2825897706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11823721 + ... + 11823959.

It is an arithmetic number, because the mean of its divisors is an integer number (16329600).

Almost surely, 2^2825897760 is an apocalyptic number.

2825897760 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 2825897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270566400).

2825897760 is an abundant number, since it is smaller than the sum of its proper divisors (9715235040).

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

2825897760 is a wasteful number, since it uses less digits than its factorization.

2825897760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2825897760 is about 53159.1738084783. The cubic root of 2825897760 is about 1413.7918758572.

The spelling of 2825897760 in words is "two billion, eight hundred twenty-five million, eight hundred ninety-seven thousand, seven hundred sixty".