2502829330512 has 320 divisors, whose sum is σ = 8169677107200. Its totient is φ = 643331284992.

The previous prime is 2502829330487. The next prime is 2502829330513. The reversal of 2502829330512 is 2150339282052.

It is a happy number.

It is a super-3 number, since 3×2502829330512³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502829330513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223202218 + ... + 223213430.

It is an arithmetic number, because the mean of its divisors is an integer number (25530240960).

Almost surely, 2^{2502829330512} 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 2502829330512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084838553600).

2502829330512 is an abundant number, since it is smaller than the sum of its proper divisors (5666847776688).

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

2502829330512 is a wasteful number, since it uses less digits than its factorization.

2502829330512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12970 (or 12964 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 2502829330512 in words is "two trillion, five hundred two billion, eight hundred twenty-nine million, three hundred thirty thousand, five hundred twelve".