2278471680 has 480 divisors, whose sum is σ = 8490802320. Its totient is φ = 583925760.

The previous prime is 2278471669. The next prime is 2278471691. The reversal of 2278471680 is 861748722.

It is an interprime number because it is at equal distance from previous prime (2278471669) and next prime (2278471691).

It is a tau number, because it is divible by the number of its divisors (480).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34007007 + ... + 34007073.

Almost surely, 2^2278471680 is an apocalyptic number.

2278471680 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 2278471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245401160).

2278471680 is an abundant number, since it is smaller than the sum of its proper divisors (6212330640).

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

2278471680 is an equidigital number, since it uses as much as digits as its factorization.

2278471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2278471680 is about 47733.3392923646. The cubic root of 2278471680 is about 1315.8747243886.

The spelling of 2278471680 in words is "two billion, two hundred seventy-eight million, four hundred seventy-one thousand, six hundred eighty".