2284742400 has 216 divisors, whose sum is σ = 7938241920. Its totient is φ = 577105920.

The previous prime is 2284742399. The next prime is 2284742413. The reversal of 2284742400 is 42474822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361669 + ... + 367931.

It is an arithmetic number, because the mean of its divisors is an integer number (36751120).

Almost surely, 2^2284742400 is an apocalyptic number.

2284742400 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 2284742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969120960).

2284742400 is an abundant number, since it is smaller than the sum of its proper divisors (5653499520).

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

2284742400 is a wasteful number, since it uses less digits than its factorization.

2284742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 2284742400 is about 47798.9790685952. The cubic root of 2284742400 is about 1317.0807848334.

The spelling of 2284742400 in words is "two billion, two hundred eighty-four million, seven hundred forty-two thousand, four hundred".