2278673600 has 168 divisors, whose sum is σ = 6615671808. Its totient is φ = 755942400.

The previous prime is 2278673597. The next prime is 2278673609. The reversal of 2278673600 is 63768722.

It is not an unprimeable number, because it can be changed into a prime (2278673609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343919 + ... + 350481.

Almost surely, 2^2278673600 is an apocalyptic number.

2278673600 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 2278673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307835904).

2278673600 is an abundant number, since it is smaller than the sum of its proper divisors (4336998208).

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

2278673600 is a wasteful number, since it uses less digits than its factorization.

2278673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 2278673600 is about 47735.4543290414. The cubic root of 2278673600 is about 1315.9135945339.

The spelling of 2278673600 in words is "two billion, two hundred seventy-eight million, six hundred seventy-three thousand, six hundred".