2502246422052 has 216 divisors, whose sum is σ = 7237370158200. Its totient is φ = 724497177600.

The previous prime is 2502246421889. The next prime is 2502246422101.

2502246422052 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 2 + 4 + 642 + 2 + 0 + 5 + 2 = 666.

2502246422052 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6080256576 + 2496166165476 = 77976^2 + 1579926^2 .

It is a super-2 number, since 2×2502246422052² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2502246421998 and 2502246422016.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25123552 + ... + 25222952.

It is an arithmetic number, because the mean of its divisors is an integer number (33506343325).

Almost surely, 2^{2502246422052} 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 2502246422052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618685079100).

2502246422052 is an abundant number, since it is smaller than the sum of its proper divisors (4735123736148).

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

2502246422052 is a wasteful number, since it uses less digits than its factorization.

2502246422052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99611 (or 99587 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 2502246422052 in words is "two trillion, five hundred two billion, two hundred forty-six million, four hundred twenty-two thousand, fifty-two".