252224154540 has 144 divisors (see below), whose sum is σ = 780187000320. Its totient is φ = 65941223040.

The previous prime is 252224154529. The next prime is 252224154569. The reversal of 252224154540 is 45451422252.

252224154540 is a `hidden beast` number, since 2 + 5 + 2 + 22 + 41 + 54 + 540 = 666.

It is a super-2 number, since 2×252224154540² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 252224154495 and 252224154504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2495101 + ... + 2594219.

It is an arithmetic number, because the mean of its divisors is an integer number (5417965280).

Almost surely, 2^252224154540 is an apocalyptic number.

252224154540 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 252224154540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390093500160).

252224154540 is an abundant number, since it is smaller than the sum of its proper divisors (527962845780).

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

252224154540 is a wasteful number, since it uses less digits than its factorization.

252224154540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99412 (or 99407 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 252224154540 its reverse (45451422252), we get a palindrome (297675576792).

The spelling of 252224154540 in words is "two hundred fifty-two billion, two hundred twenty-four million, one hundred fifty-four thousand, five hundred forty".