252817219440 has 240 divisors, whose sum is σ = 881431605600. Its totient is φ = 67345883136.

The previous prime is 252817219429. The next prime is 252817219453. The reversal of 252817219440 is 44912718252.

252817219440 is a `hidden beast` number, since 2 + 5 + 28 + 172 + 19 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×252817219440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19608516 + ... + 19621404.

It is an arithmetic number, because the mean of its divisors is an integer number (3672631690).

Almost surely, 2^252817219440 is an apocalyptic number.

252817219440 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 252817219440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440715802800).

252817219440 is an abundant number, since it is smaller than the sum of its proper divisors (628614386160).

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

252817219440 is a wasteful number, since it uses less digits than its factorization.

252817219440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13926 (or 13908 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

It can be divided in two parts, 25281 and 7219440, that added together give a triangular number (7244721 = T₃₈₀₆).

The spelling of 252817219440 in words is "two hundred fifty-two billion, eight hundred seventeen million, two hundred nineteen thousand, four hundred forty".