2285436480 has 224 divisors, whose sum is σ = 7748991360. Its totient is φ = 568688640.

The previous prime is 2285436443. The next prime is 2285436481. The reversal of 2285436480 is 846345822.

It is a super-2 number, since 2×2285436480² = 10446439808229580800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2285436481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2137386 + ... + 2138454.

Almost surely, 2^2285436480 is an apocalyptic number.

2285436480 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 2285436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874495680).

2285436480 is an abundant number, since it is smaller than the sum of its proper divisors (5463554880).

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

2285436480 is a wasteful number, since it uses less digits than its factorization.

2285436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 2285436480 is about 47806.2389233874. The cubic root of 2285436480 is about 1317.2141429567.

The spelling of 2285436480 in words is "two billion, two hundred eighty-five million, four hundred thirty-six thousand, four hundred eighty".