2287992960 has 256 divisors, whose sum is σ = 8840707200. Its totient is φ = 554618880.

The previous prime is 2287992929. The next prime is 2287992979. The reversal of 2287992960 is 692997822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2287992897 and 2287992906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184062 + ... + 196098.

Almost surely, 2^2287992960 is an apocalyptic number.

2287992960 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 2287992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420353600).

2287992960 is an abundant number, since it is smaller than the sum of its proper divisors (6552714240).

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

2287992960 is a wasteful number, since it uses less digits than its factorization.

2287992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12076 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2287992960 is about 47832.9693830521. The cubic root of 2287992960 is about 1317.7051034104.

The spelling of 2287992960 in words is "two billion, two hundred eighty-seven million, nine hundred ninety-two thousand, nine hundred sixty".