2285897760 has 240 divisors, whose sum is σ = 8112640536. Its totient is φ = 606154752.

The previous prime is 2285897749. The next prime is 2285897767. The reversal of 2285897760 is 677985822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1634423184 + 651474576 = 40428^2 + 25524^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2285897697 and 2285897706.

It is not an unprimeable number, because it can be changed into a prime (2285897767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3019302 + ... + 3020058.

Almost surely, 2^2285897760 is an apocalyptic number.

2285897760 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 2285897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056320268).

2285897760 is an abundant number, since it is smaller than the sum of its proper divisors (5826742776).

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

2285897760 is a wasteful number, since it uses less digits than its factorization.

2285897760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1000 counting only the distinct ones).

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

The square root of 2285897760 is about 47811.0631548808. The cubic root of 2285897760 is about 1317.3027567614.

The spelling of 2285897760 in words is "two billion, two hundred eighty-five million, eight hundred ninety-seven thousand, seven hundred sixty".