2283310080 has 352 divisors, whose sum is σ = 8253504000. Its totient is φ = 598523904.

The previous prime is 2283310037. The next prime is 2283310111. The reversal of 2283310080 is 800133822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11473821 + ... + 11474019.

Almost surely, 2^2283310080 is an apocalyptic number.

2283310080 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 2283310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126752000).

2283310080 is an abundant number, since it is smaller than the sum of its proper divisors (5970193920).

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

2283310080 is a wasteful number, since it uses less digits than its factorization.

2283310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2283310080 is about 47783.9939728776. The cubic root of 2283310080 is about 1316.8054984374.

The spelling of 2283310080 in words is "two billion, two hundred eighty-three million, three hundred ten thousand, eighty".