2286506880 has 320 divisors, whose sum is σ = 9333514080. Its totient is φ = 522547200.

The previous prime is 2286506869. The next prime is 2286506891. The reversal of 2286506880 is 886056822.

It is an interprime number because it is at equal distance from previous prime (2286506869) and next prime (2286506891).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2286506880² = 10456227424574668800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359730 + ... + 366030.

Almost surely, 2^2286506880 is an apocalyptic number.

2286506880 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 2286506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666757040).

2286506880 is an abundant number, since it is smaller than the sum of its proper divisors (7047007200).

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

2286506880 is an equidigital number, since it uses as much as digits as its factorization.

2286506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2286506880 is about 47817.4328043654. The cubic root of 2286506880 is about 1317.4197529819.

The spelling of 2286506880 in words is "two billion, two hundred eighty-six million, five hundred six thousand, eight hundred eighty".