2502260145216 has 336 divisors, whose sum is σ = 8219523312000. Its totient is φ = 720987734016.

The previous prime is 2502260145193. The next prime is 2502260145247. The reversal of 2502260145216 is 6125410622052.

2502260145216 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 2 + 601 + 45 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×2502260145216² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25282515 + ... + 25381293.

It is an arithmetic number, because the mean of its divisors is an integer number (24462867000).

Almost surely, 2^{2502260145216} is an apocalyptic number.

2502260145216 is a gapful number since it is divisible by the number (26) 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 2502260145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109761656000).

2502260145216 is an abundant number, since it is smaller than the sum of its proper divisors (5717263166784).

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

2502260145216 is a wasteful number, since it uses less digits than its factorization.

2502260145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99026 (or 99013 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 2502260145216 its reverse (6125410622052), we get a palindrome (8627670767268).

The spelling of 2502260145216 in words is "two trillion, five hundred two billion, two hundred sixty million, one hundred forty-five thousand, two hundred sixteen".