2278987200 has 504 divisors, whose sum is σ = 9669523968. Its totient is φ = 497756160.

The previous prime is 2278987189. The next prime is 2278987259. The reversal of 2278987200 is 27898722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2317909 + ... + 2318891.

Almost surely, 2^2278987200 is an apocalyptic number.

2278987200 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 2278987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834761984).

2278987200 is an abundant number, since it is smaller than the sum of its proper divisors (7390536768).

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

2278987200 is a wasteful number, since it uses less digits than its factorization.

2278987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2278987200 is about 47738.7389862782. The cubic root of 2278987200 is about 1315.9739588285.

The spelling of 2278987200 in words is "two billion, two hundred seventy-eight million, nine hundred eighty-seven thousand, two hundred".