2288378400 has 864 divisors, whose sum is σ = 9938738880. Its totient is φ = 451584000.

The previous prime is 2288378383. The next prime is 2288378437. The reversal of 2288378400 is 48738822.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 37514370 + ... + 37514430.

It is an arithmetic number, because the mean of its divisors is an integer number (11503170).

Almost surely, 2^2288378400 is an apocalyptic number.

2288378400 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 2288378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969369440).

2288378400 is an abundant number, since it is smaller than the sum of its proper divisors (7650360480).

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

2288378400 is a wasteful number, since it uses less digits than its factorization.

2288378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 2288378400 is about 47836.9982335848. The cubic root of 2288378400 is about 1317.7790936930.

The spelling of 2288378400 in words is "two billion, two hundred eighty-eight million, three hundred seventy-eight thousand, four hundred".