2287232640 has 768 divisors, whose sum is σ = 10265149440. Its totient is φ = 472780800.

The previous prime is 2287232609. The next prime is 2287232653. The reversal of 2287232640 is 462327822.

It is a happy number.

2287232640 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 2 + 3 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2287232595 and 2287232604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11974945 + ... + 11975135.

It is an arithmetic number, because the mean of its divisors is an integer number (13366080).

Almost surely, 2^2287232640 is an apocalyptic number.

2287232640 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 2287232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132574720).

2287232640 is an abundant number, since it is smaller than the sum of its proper divisors (7977916800).

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

2287232640 is a wasteful number, since it uses less digits than its factorization.

2287232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2287232640 is about 47825.0210663832. The cubic root of 2287232640 is about 1317.5591256095.

The spelling of 2287232640 in words is "two billion, two hundred eighty-seven million, two hundred thirty-two thousand, six hundred forty".