2225505024 has 144 divisors (see below), whose sum is σ = 6867840000. Its totient is φ = 709530624.

The previous prime is 2225505013. The next prime is 2225505053. The reversal of 2225505024 is 4205055222.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2225505024² = 9905745223698481152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151977 + ... + 165975.

Almost surely, 2^2225505024 is an apocalyptic number.

2225505024 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 2225505024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433920000).

2225505024 is an abundant number, since it is smaller than the sum of its proper divisors (4642334976).

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

2225505024 is a wasteful number, since it uses less digits than its factorization.

2225505024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14047 (or 14027 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2225505024 is about 47175.2586002451. The cubic root of 2225505024 is about 1305.5981509489.

The spelling of 2225505024 in words is "two billion, two hundred twenty-five million, five hundred five thousand, twenty-four".