2252734640000 has 320 divisors, whose sum is σ = 6202763730240. Its totient is φ = 809284608000.

The previous prime is 2252734639993. The next prime is 2252734640021. The reversal of 2252734640000 is 464372522.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38450729 + ... + 38509271.

It is an arithmetic number, because the mean of its divisors is an integer number (19383636657).

Almost surely, 2^{2252734640000} is an apocalyptic number.

2252734640000 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 2252734640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101381865120).

2252734640000 is an abundant number, since it is smaller than the sum of its proper divisors (3950029090240).

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

2252734640000 is an equidigital number, since it uses as much as digits as its factorization.

2252734640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58627 (or 58600 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 2252734640000 in words is "two trillion, two hundred fifty-two billion, seven hundred thirty-four million, six hundred forty thousand".