2265408992 has 96 divisors (see below), whose sum is σ = 5616221184. Its totient is φ = 873792000.

The previous prime is 2265408991. The next prime is 2265409009. The reversal of 2265408992 is 2998045622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265408991) 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, 244313 + ... + 253415.

It is an arithmetic number, because the mean of its divisors is an integer number (58502304).

Almost surely, 2^2265408992 is an apocalyptic number.

2265408992 is a gapful number since it is divisible by the number (22) 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 2265408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808110592).

2265408992 is an abundant number, since it is smaller than the sum of its proper divisors (3350812192).

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

2265408992 is a wasteful number, since it uses less digits than its factorization.

2265408992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9224 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 2265408992 is about 47596.3127983671. The cubic root of 2265408992 is about 1313.3552264009.

It can be divided in two parts, 226540 and 8992, that added together give a palindrome (235532).

The spelling of 2265408992 in words is "two billion, two hundred sixty-five million, four hundred eight thousand, nine hundred ninety-two".