2282582400 has 192 divisors, whose sum is σ = 8592545280. Its totient is φ = 521717760.

The previous prime is 2282582387. The next prime is 2282582413. The reversal of 2282582400 is 42852822.

It is an interprime number because it is at equal distance from previous prime (2282582387) and next prime (2282582413).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50217 + ... + 84183.

It is an arithmetic number, because the mean of its divisors is an integer number (44752840).

Almost surely, 2^2282582400 is an apocalyptic number.

2282582400 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 2282582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296272640).

2282582400 is an abundant number, since it is smaller than the sum of its proper divisors (6309962880).

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

2282582400 is a wasteful number, since it uses less digits than its factorization.

2282582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34001 (or 33984 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 2282582400 is about 47776.3791009742. The cubic root of 2282582400 is about 1316.6655970366.

The spelling of 2282582400 in words is "two billion, two hundred eighty-two million, five hundred eighty-two thousand, four hundred".