2465092224 has 512 divisors, whose sum is σ = 9086976000. Its totient is φ = 641986560.

The previous prime is 2465092211. The next prime is 2465092271. The reversal of 2465092224 is 4222905642.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14249002 + ... + 14249174.

It is an arithmetic number, because the mean of its divisors is an integer number (17748000).

Almost surely, 2^2465092224 is an apocalyptic number.

2465092224 is a gapful number since it is divisible by the number (24) 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 2465092224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543488000).

2465092224 is an abundant number, since it is smaller than the sum of its proper divisors (6621883776).

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

2465092224 is a wasteful number, since it uses less digits than its factorization.

2465092224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2465092224 is about 49649.6951048040. The cubic root of 2465092224 is about 1350.8622245017.

Adding to 2465092224 its reverse (4222905642), we get a palindrome (6687997866).

The spelling of 2465092224 in words is "two billion, four hundred sixty-five million, ninety-two thousand, two hundred twenty-four".