252842428020 has 384 divisors, whose sum is σ = 883977486336. Its totient is φ = 52578699264.

The previous prime is 252842427961. The next prime is 252842428021. The reversal of 252842428020 is 20824248252.

It is a super-2 number, since 2×252842428020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 252842428020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252842428021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113026342 + ... + 113028578.

It is an arithmetic number, because the mean of its divisors is an integer number (2302024704).

Almost surely, 2^252842428020 is an apocalyptic number.

252842428020 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 252842428020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441988743168).

252842428020 is an abundant number, since it is smaller than the sum of its proper divisors (631135058316).

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

252842428020 is a wasteful number, since it uses less digits than its factorization.

252842428020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 39.

The spelling of 252842428020 in words is "two hundred fifty-two billion, eight hundred forty-two million, four hundred twenty-eight thousand, twenty".