2252132414400 has 168 divisors, whose sum is σ = 8060586839424. Its totient is φ = 545971481600.

The previous prime is 2252132414393. The next prime is 2252132414407. The reversal of 2252132414400 is 44142312522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2252132414393) and next prime (2252132414407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252132414407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21274212 + ... + 21379811.

It is an arithmetic number, because the mean of its divisors is an integer number (47979683568).

Almost surely, 2^{2252132414400} is an apocalyptic number.

2252132414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252132414400 is an abundant number, since it is smaller than the sum of its proper divisors (5808454425024).

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

2252132414400 is a wasteful number, since it uses less digits than its factorization.

2252132414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42654059 (or 42654044 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2252132414400 its reverse (44142312522), we get a palindrome (2296274726922).

The spelling of 2252132414400 in words is "two trillion, two hundred fifty-two billion, one hundred thirty-two million, four hundred fourteen thousand, four hundred".