252410178240 has 560 divisors, whose sum is σ = 983672895744. Its totient is φ = 60929280000.

The previous prime is 252410178239. The next prime is 252410178283. The reversal of 252410178240 is 42871014252.

252410178240 is a `hidden beast` number, since 2 + 5 + 241 + 0 + 178 + 240 = 666.

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 = 252410178195 and 252410178204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71563357 + ... + 71566883.

Almost surely, 2^252410178240 is an apocalyptic number.

252410178240 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 252410178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491836447872).

252410178240 is an abundant number, since it is smaller than the sum of its proper divisors (731262717504).

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

252410178240 is a wasteful number, since it uses less digits than its factorization.

252410178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 252410178240 in words is "two hundred fifty-two billion, four hundred ten million, one hundred seventy-eight thousand, two hundred forty".