2534645900052 has 216 divisors, whose sum is σ = 7855821049440. Its totient is φ = 712311848640.

The previous prime is 2534645900047. The next prime is 2534645900053. The reversal of 2534645900052 is 2500095464352.

2534645900052 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 6 + 4 + 590 + 0 + 0 + 52 = 666.

It is a super-4 number, since 4×2534645900052⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2534645899980 and 2534645900007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534645900053) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2469099 + ... + 3341517.

Almost surely, 2^{2534645900052} 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 2534645900052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927910524720).

2534645900052 is an abundant number, since it is smaller than the sum of its proper divisors (5321175149388).

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

2534645900052 is a wasteful number, since it uses less digits than its factorization.

2534645900052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872513 (or 872492 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

It can be divided in two parts, 253464 and 5900052, that added together give a palindrome (6153516).

The spelling of 2534645900052 in words is "two trillion, five hundred thirty-four billion, six hundred forty-five million, nine hundred thousand, fifty-two".