2520126210252 has 144 divisors (see below), whose sum is σ = 7026545067360. Its totient is φ = 700443168768.

The previous prime is 2520126210221. The next prime is 2520126210281.

2520126210252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2520126210252² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 194252838 + ... + 194265810.

Almost surely, 2^{2520126210252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520126210252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513272533680).

2520126210252 is an abundant number, since it is smaller than the sum of its proper divisors (4506418857108).

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

2520126210252 is a wasteful number, since it uses less digits than its factorization.

2520126210252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21960 (or 21951 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2520126210252 in words is "two trillion, five hundred twenty billion, one hundred twenty-six million, two hundred ten thousand, two hundred fifty-two".