252774359040 has 448 divisors, whose sum is σ = 937621370880. Its totient is φ = 56949473280.

The previous prime is 252774358973. The next prime is 252774359063. The reversal of 252774359040 is 40953477252.

252774359040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61069291 + ... + 61073429.

Almost surely, 2^252774359040 is an apocalyptic number.

252774359040 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 252774359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468810685440).

252774359040 is an abundant number, since it is smaller than the sum of its proper divisors (684847011840).

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

252774359040 is an equidigital number, since it uses as much as digits as its factorization.

252774359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 252774359040 in words is "two hundred fifty-two billion, seven hundred seventy-four million, three hundred fifty-nine thousand, forty".