2538829153152 has 1280 divisors, whose sum is σ = 8658752256000. Its totient is φ = 734432624640.

The previous prime is 2538829153151. The next prime is 2538829153181. The reversal of 2538829153152 is 2513519288352.

2538829153152 is a `hidden beast` number, since 2 + 5 + 3 + 88 + 29 + 1 + 531 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538829153151) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14675312938 + ... + 14675313110.

It is an arithmetic number, because the mean of its divisors is an integer number (6764650200).

Almost surely, 2^{2538829153152} 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 2538829153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329376128000).

2538829153152 is an abundant number, since it is smaller than the sum of its proper divisors (6119923102848).

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

2538829153152 is a wasteful number, since it uses less digits than its factorization.

2538829153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 340 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 2538829153152 in words is "two trillion, five hundred thirty-eight billion, eight hundred twenty-nine million, one hundred fifty-three thousand, one hundred fifty-two".