2285961582240 has 288 divisors, whose sum is σ = 9028104583680. Its totient is φ = 515891331072.

The previous prime is 2285961582187. The next prime is 2285961582269. The reversal of 2285961582240 is 422851695822.

2285961582240 is a `hidden beast` number, since 2 + 2 + 8 + 59 + 6 + 1 + 582 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 639009 + ... + 2231648.

It is an arithmetic number, because the mean of its divisors is an integer number (31347585360).

Almost surely, 2^{2285961582240} is an apocalyptic number.

2285961582240 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 2285961582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514052291840).

2285961582240 is an abundant number, since it is smaller than the sum of its proper divisors (6742143001440).

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

2285961582240 is a wasteful number, since it uses less digits than its factorization.

2285961582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870764 (or 2870753 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2285961582240 in words is "two trillion, two hundred eighty-five billion, nine hundred sixty-one million, five hundred eighty-two thousand, two hundred forty".