2285309986560 has 648 divisors, whose sum is σ = 8252763114960. Its totient is φ = 583824310272.

The previous prime is 2285309986541. The next prime is 2285309986567. The reversal of 2285309986560 is 656899035822.

2285309986560 is a `hidden beast` number, since 2 + 2 + 8 + 530 + 9 + 98 + 6 + 5 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285309986567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1346675632 + ... + 1346677328.

Almost surely, 2^{2285309986560} is an apocalyptic number.

2285309986560 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 2285309986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126381557480).

2285309986560 is an abundant number, since it is smaller than the sum of its proper divisors (5967453128400).

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

2285309986560 is a wasteful number, since it uses less digits than its factorization.

2285309986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 2285309986560 in words is "two trillion, two hundred eighty-five billion, three hundred nine million, nine hundred eighty-six thousand, five hundred sixty".