2262567840 has 192 divisors, whose sum is σ = 7782034176. Its totient is φ = 549199872.

The previous prime is 2262567817. The next prime is 2262567841. The reversal of 2262567840 is 487652622.

It is a junction number, because it is equal to n+sod(n) for n = 2262567792 and 2262567801.

It is not an unprimeable number, because it can be changed into a prime (2262567841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 453037 + ... + 458003.

It is an arithmetic number, because the mean of its divisors is an integer number (40531428).

Almost surely, 2^2262567840 is an apocalyptic number.

2262567840 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 2262567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891017088).

2262567840 is an abundant number, since it is smaller than the sum of its proper divisors (5519466336).

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

2262567840 is a wasteful number, since it uses less digits than its factorization.

2262567840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2262567840 is about 47566.4570890034. The cubic root of 2262567840 is about 1312.8059506259.

The spelling of 2262567840 in words is "two billion, two hundred sixty-two million, five hundred sixty-seven thousand, eight hundred forty".