2252162507424 has 192 divisors, whose sum is σ = 6094097856000. Its totient is φ = 727826964480.

The previous prime is 2252162507417. The next prime is 2252162507429. The reversal of 2252162507424 is 4247052612522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2252162507429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1126643577 + ... + 1126645575.

It is an arithmetic number, because the mean of its divisors is an integer number (31740093000).

Almost surely, 2^{2252162507424} is an apocalyptic number.

2252162507424 is a gapful number since it is divisible by the number (24) 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 2252162507424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047048928000).

2252162507424 is an abundant number, since it is smaller than the sum of its proper divisors (3841935348576).

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

2252162507424 is a wasteful number, since it uses less digits than its factorization.

2252162507424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 2252162507424 in words is "two trillion, two hundred fifty-two billion, one hundred sixty-two million, five hundred seven thousand, four hundred twenty-four".