2282515200 has 1080 divisors, whose sum is σ = 10488516192. Its totient is φ = 477757440.

The previous prime is 2282515199. The next prime is 2282515231. The reversal of 2282515200 is 25152822.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61689582 + ... + 61689618.

Almost surely, 2^2282515200 is an apocalyptic number.

2282515200 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 2282515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244258096).

2282515200 is an abundant number, since it is smaller than the sum of its proper divisors (8206000992).

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

2282515200 is a wasteful number, since it uses less digits than its factorization.

2282515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2282515200 is about 47775.6758193958. The cubic root of 2282515200 is about 1316.6526758826.

It can be divided in two parts, 22825 and 15200, that added together give a square (38025 = 195²).

The spelling of 2282515200 in words is "two billion, two hundred eighty-two million, five hundred fifteen thousand, two hundred".