2268282400 has 72 divisors (see below), whose sum is σ = 5716134144. Its totient is φ = 878035200.

The previous prime is 2268282371. The next prime is 2268282421. The reversal of 2268282400 is 42828622.

It is a super-2 number, since 2×2268282400² = 10290210092299520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20932 + ... + 70531.

It is an arithmetic number, because the mean of its divisors is an integer number (79390752).

Almost surely, 2^2268282400 is an apocalyptic number.

2268282400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2268282400 is an abundant number, since it is smaller than the sum of its proper divisors (3447851744).

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

2268282400 is a wasteful number, since it uses less digits than its factorization.

2268282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91514 (or 91501 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 2268282400 is about 47626.4884281846. The cubic root of 2268282400 is about 1313.9102712819.

The spelling of 2268282400 in words is "two billion, two hundred sixty-eight million, two hundred eighty-two thousand, four hundred".