2283457680 has 480 divisors, whose sum is σ = 9610099200. Its totient is φ = 473776128.

The previous prime is 2283457679. The next prime is 2283457723. The reversal of 2283457680 is 867543822.

2283457680 is a `hidden beast` number, since 228 + 345 + 7 + 6 + 80 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2484261 + ... + 2485179.

It is an arithmetic number, because the mean of its divisors is an integer number (20021040).

Almost surely, 2^2283457680 is an apocalyptic number.

2283457680 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 2283457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805049600).

2283457680 is an abundant number, since it is smaller than the sum of its proper divisors (7326641520).

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

2283457680 is a wasteful number, since it uses less digits than its factorization.

2283457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2283457680 is about 47785.5383981388. The cubic root of 2283457680 is about 1316.8338719094.

The spelling of 2283457680 in words is "two billion, two hundred eighty-three million, four hundred fifty-seven thousand, six hundred eighty".