2278723200 has 576 divisors, whose sum is σ = 8791624800. Its totient is φ = 514252800.

The previous prime is 2278723151. The next prime is 2278723241. The reversal of 2278723200 is 23278722.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 73507185 + ... + 73507215.

Almost surely, 2^2278723200 is an apocalyptic number.

2278723200 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 2278723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395812400).

2278723200 is an abundant number, since it is smaller than the sum of its proper divisors (6512901600).

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

2278723200 is a wasteful number, since it uses less digits than its factorization.

2278723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2278723200 is about 47735.9738562020. The cubic root of 2278723200 is about 1315.9231423165.

The spelling of 2278723200 in words is "two billion, two hundred seventy-eight million, seven hundred twenty-three thousand, two hundred".