2286455640 has 192 divisors, whose sum is σ = 8017574400. Its totient is φ = 520111872.

The previous prime is 2286455627. The next prime is 2286455659. The reversal of 2286455640 is 465546822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2286455592 and 2286455601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1404507 + ... + 1406133.

It is an arithmetic number, because the mean of its divisors is an integer number (41758200).

Almost surely, 2^2286455640 is an apocalyptic number.

2286455640 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 2286455640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008787200).

2286455640 is an abundant number, since it is smaller than the sum of its proper divisors (5731118760).

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

2286455640 is a wasteful number, since it uses less digits than its factorization.

2286455640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 2286455640 is about 47816.8970135035. The cubic root of 2286455640 is about 1317.4099119017.

The spelling of 2286455640 in words is "two billion, two hundred eighty-six million, four hundred fifty-five thousand, six hundred forty".