2262307840 has 176 divisors, whose sum is σ = 5994107280. Its totient is φ = 813957120.

The previous prime is 2262307811. The next prime is 2262307849. The reversal of 2262307840 is 487032622.

It can be written as a sum of positive squares in 8 ways, for example, as 539725824 + 1722582016 = 23232^2 + 41504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2262307796 and 2262307805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262307849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2728546 + ... + 2729374.

Almost surely, 2^2262307840 is an apocalyptic number.

2262307840 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 2262307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997053640).

2262307840 is an abundant number, since it is smaller than the sum of its proper divisors (3731799440).

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

2262307840 is a wasteful number, since it uses less digits than its factorization.

2262307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2262307840 is about 47563.7239921350. The cubic root of 2262307840 is about 1312.7556622446.

The spelling of 2262307840 in words is "two billion, two hundred sixty-two million, three hundred seven thousand, eight hundred forty".