2278357920 has 144 divisors (see below), whose sum is σ = 8113053312. Its totient is φ = 581137920.

The previous prime is 2278357889. The next prime is 2278357937. The reversal of 2278357920 is 297538722.

2278357920 is a `hidden beast` number, since 2 + 2 + 78 + 3 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1276 + ... + 67515.

It is an arithmetic number, because the mean of its divisors is an integer number (56340648).

Almost surely, 2^2278357920 is an apocalyptic number.

2278357920 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 2278357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056526656).

2278357920 is an abundant number, since it is smaller than the sum of its proper divisors (5834695392).

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

2278357920 is a wasteful number, since it uses less digits than its factorization.

2278357920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68835 (or 68824 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2278357920 is about 47732.1476575274. The cubic root of 2278357920 is about 1315.8528242700.

The spelling of 2278357920 in words is "two billion, two hundred seventy-eight million, three hundred fifty-seven thousand, nine hundred twenty".