252461015040 has 336 divisors, whose sum is σ = 874818385488. Its totient is φ = 62139138048.

The previous prime is 252461015021. The next prime is 252461015063. The reversal of 252461015040 is 40510164252.

252461015040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252461014989 and 252461015007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20760642 + ... + 20772798.

Almost surely, 2^252461015040 is an apocalyptic number.

252461015040 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 252461015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437409192744).

252461015040 is an abundant number, since it is smaller than the sum of its proper divisors (622357370448).

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

252461015040 is a wasteful number, since it uses less digits than its factorization.

252461015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12217 (or 12180 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 252461015040 its reverse (40510164252), we get a palindrome (292971179292).

The spelling of 252461015040 in words is "two hundred fifty-two billion, four hundred sixty-one million, fifteen thousand, forty".