252766373940 has 288 divisors, whose sum is σ = 816026309280. Its totient is φ = 63210405888.

The previous prime is 252766373929. The next prime is 252766373957. The reversal of 252766373940 is 49373667252.

252766373940 is a `hidden beast` number, since 2 + 527 + 6 + 6 + 3 + 73 + 9 + 40 = 666.

252766373940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 26317923984 + 226448449956 = 162228^2 + 475866^2 .

It is a super-2 number, since 2×252766373940² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 211873984 + ... + 211875176.

It is an arithmetic number, because the mean of its divisors is an integer number (2833424685).

Almost surely, 2^252766373940 is an apocalyptic number.

252766373940 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 252766373940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408013154640).

252766373940 is an abundant number, since it is smaller than the sum of its proper divisors (563259935340).

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

252766373940 is a wasteful number, since it uses less digits than its factorization.

252766373940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 252766373940 in words is "two hundred fifty-two billion, seven hundred sixty-six million, three hundred seventy-three thousand, nine hundred forty".