2532542377680 has 1200 divisors, whose sum is σ = 11305429977600. Its totient is φ = 521102647296.

The previous prime is 2532542377627. The next prime is 2532542377681. The reversal of 2532542377680 is 867732452352.

2532542377680 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 542 + 37 + 7 + 68 + 0 = 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 (2532542377681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 124140121 + ... + 124160519.

It is an arithmetic number, because the mean of its divisors is an integer number (9421191648).

Almost surely, 2^{2532542377680} is an apocalyptic number.

2532542377680 is a gapful number since it is divisible by the number (20) 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 2532542377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652714988800).

2532542377680 is an abundant number, since it is smaller than the sum of its proper divisors (8772887599920).

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

2532542377680 is a wasteful number, since it uses less digits than its factorization.

2532542377680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20478 (or 20456 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 2532542377680 in words is "two trillion, five hundred thirty-two billion, five hundred forty-two million, three hundred seventy-seven thousand, six hundred eighty".