2260427840 has 112 divisors (see below), whose sum is σ = 5887785024. Its totient is φ = 819763200.

The previous prime is 2260427839. The next prime is 2260427849. The reversal of 2260427840 is 487240622.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2260427840.

It is not an unprimeable number, because it can be changed into a prime (2260427849) 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 15 ways as a sum of consecutive naturals, for example, 1903727 + ... + 1904913.

Almost surely, 2^2260427840 is an apocalyptic number.

2260427840 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 2260427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943892512).

2260427840 is an abundant number, since it is smaller than the sum of its proper divisors (3627357184).

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

2260427840 is a wasteful number, since it uses less digits than its factorization.

2260427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 2260427840 is about 47543.9569240929. The cubic root of 2260427840 is about 1312.3919238597.

The spelling of 2260427840 in words is "two billion, two hundred sixty million, four hundred twenty-seven thousand, eight hundred forty".