2278238400 has 210 divisors, whose sum is σ = 8374707660. Its totient is φ = 607495680.

The previous prime is 2278238399. The next prime is 2278238401. The reversal of 2278238400 is 48328722.

2278238400 is a `hidden beast` number, since 2 + 278 + 2 + 384 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2278238399) and next prime (2278238401).

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

It is not an unprimeable number, because it can be changed into a prime (2278238401) 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 29 ways as a sum of consecutive naturals, for example, 120811 + ... + 138389.

Almost surely, 2^2278238400 is an apocalyptic number.

2278238400 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 2278238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187353830).

2278238400 is an abundant number, since it is smaller than the sum of its proper divisors (6096469260).

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

2278238400 is a wasteful number, since it uses less digits than its factorization.

2278238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17613 (or 17589 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2278238400 is about 47730.8956547015. The cubic root of 2278238400 is about 1315.8298144993.

The spelling of 2278238400 in words is "two billion, two hundred seventy-eight million, two hundred thirty-eight thousand, four hundred".