2288642400 has 648 divisors, whose sum is σ = 9238752432. Its totient is φ = 532224000.

The previous prime is 2288642399. The next prime is 2288642401. The reversal of 2288642400 is 42468822.

It is a happy number.

2288642400 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 642 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2288642399) and next prime (2288642401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288642401) 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 107 ways as a sum of consecutive naturals, for example, 32234365 + ... + 32234435.

It is an arithmetic number, because the mean of its divisors is an integer number (14257334).

Almost surely, 2^2288642400 is an apocalyptic number.

2288642400 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 2288642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619376216).

2288642400 is an abundant number, since it is smaller than the sum of its proper divisors (6950110032).

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

2288642400 is a wasteful number, since it uses less digits than its factorization.

2288642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2288642400 is about 47839.7575244691. The cubic root of 2288642400 is about 1317.8297671748.

The spelling of 2288642400 in words is "two billion, two hundred eighty-eight million, six hundred forty-two thousand, four hundred".