2285755920 has 360 divisors, whose sum is σ = 9072258624. Its totient is φ = 514128384.

The previous prime is 2285755909. The next prime is 2285755931. The reversal of 2285755920 is 295575822.

2285755920 is a `hidden beast` number, since 2 + 2 + 8 + 57 + 5 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2285755909) and next prime (2285755931).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2363277 + ... + 2364243.

Almost surely, 2^2285755920 is an apocalyptic number.

2285755920 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 2285755920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536129312).

2285755920 is an abundant number, since it is smaller than the sum of its proper divisors (6786502704).

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

2285755920 is a wasteful number, since it uses less digits than its factorization.

2285755920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2285755920 is about 47809.5797931753. The cubic root of 2285755920 is about 1317.2755099774.

The spelling of 2285755920 in words is "two billion, two hundred eighty-five million, seven hundred fifty-five thousand, nine hundred twenty".