2265144552 has 96 divisors (see below), whose sum is σ = 6711569280. Its totient is φ = 684449280.

The previous prime is 2265144529. The next prime is 2265144559. The reversal of 2265144552 is 2554415622.

2265144552 is a `hidden beast` number, since 2 + 2 + 65 + 1 + 44 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2265144559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286768 + ... + 294560.

It is an arithmetic number, because the mean of its divisors is an integer number (69912180).

Almost surely, 2^2265144552 is an apocalyptic number.

2265144552 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 2265144552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355784640).

2265144552 is an abundant number, since it is smaller than the sum of its proper divisors (4446424728).

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

2265144552 is a wasteful number, since it uses less digits than its factorization.

2265144552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8183 (or 8176 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2265144552 is about 47593.5347710170. The cubic root of 2265144552 is about 1313.3041219908.

The spelling of 2265144552 in words is "two billion, two hundred sixty-five million, one hundred forty-four thousand, five hundred fifty-two".