2282978304 has 176 divisors, whose sum is σ = 6862199040. Its totient is φ = 749629440.

The previous prime is 2282978303. The next prime is 2282978309. The reversal of 2282978304 is 4038792822.

It is a self number, because there is not a number n which added to its sum of digits gives 2282978304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282978303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962427 + ... + 1963589.

Almost surely, 2^2282978304 is an apocalyptic number.

2282978304 is a gapful number since it is divisible by the number (24) 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 2282978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431099520).

2282978304 is an abundant number, since it is smaller than the sum of its proper divisors (4579220736).

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

2282978304 is a wasteful number, since it uses less digits than its factorization.

2282978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2282978304 is about 47780.5222240193. The cubic root of 2282978304 is about 1316.7417159450.

The spelling of 2282978304 in words is "two billion, two hundred eighty-two million, nine hundred seventy-eight thousand, three hundred four".