2252540504214 has 256 divisors, whose sum is σ = 6734309621760. Its totient is φ = 538989448320.

The previous prime is 2252540504197. The next prime is 2252540504237. The reversal of 2252540504214 is 4124050452522.

2252540504214 is a `hidden beast` number, since 2 + 2 + 52 + 540 + 50 + 4 + 2 + 14 = 666.

It is a super-2 number, since 2×2252540504214² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27147739 + ... + 27230585.

It is an arithmetic number, because the mean of its divisors is an integer number (26305896960).

Almost surely, 2^{2252540504214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252540504214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367154810880).

2252540504214 is an abundant number, since it is smaller than the sum of its proper divisors (4481769117546).

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

2252540504214 is a wasteful number, since it uses less digits than its factorization.

2252540504214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83392 (or 83386 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 2252540504214 its reverse (4124050452522), we get a palindrome (6376590956736).

The spelling of 2252540504214 in words is "two trillion, two hundred fifty-two billion, five hundred forty million, five hundred four thousand, two hundred fourteen".