2278932480 has 360 divisors, whose sum is σ = 8648915184. Its totient is φ = 550502400.

The previous prime is 2278932457. The next prime is 2278932493. The reversal of 2278932480 is 842398722.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109940 + ... + 8110220.

Almost surely, 2^2278932480 is an apocalyptic number.

2278932480 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 2278932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324457592).

2278932480 is an abundant number, since it is smaller than the sum of its proper divisors (6369982704).

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

2278932480 is a wasteful number, since it uses less digits than its factorization.

2278932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 302 counting only the distinct ones).

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

The square root of 2278932480 is about 47738.1658633844. The cubic root of 2278932480 is about 1315.9634262739.

The spelling of 2278932480 in words is "two billion, two hundred seventy-eight million, nine hundred thirty-two thousand, four hundred eighty".