2252425164000 has 576 divisors, whose sum is σ = 8264056207680. Its totient is φ = 535721472000.

The previous prime is 2252425163981. The next prime is 2252425164007. The reversal of 2252425164000 is 4615242522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252425164007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76941366 + ... + 76970634.

It is an arithmetic number, because the mean of its divisors is an integer number (14347319805).

Almost surely, 2^{2252425164000} is an apocalyptic number.

2252425164000 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 2252425164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132028103840).

2252425164000 is an abundant number, since it is smaller than the sum of its proper divisors (6011631043680).

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

2252425164000 is a wasteful number, since it uses less digits than its factorization.

2252425164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29372 (or 29343 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 2252425164000 in words is "two trillion, two hundred fifty-two billion, four hundred twenty-five million, one hundred sixty-four thousand".