2532055938048 has 1584 divisors, whose sum is σ = 9896560221184. Its totient is φ = 606433443840.

The previous prime is 2532055937993. The next prime is 2532055938109. The reversal of 2532055938048 is 8408395502352.

It is a happy number.

2532055938048 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 0 + 5 + 593 + 8 + 0 + 48 = 666.

It is a super-2 number, since 2×2532055938048² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2532055937985 and 2532055938003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7513518936 + ... + 7513519272.

Almost surely, 2^{2532055938048} is an apocalyptic number.

2532055938048 is a gapful number since it is divisible by the number (28) 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 2532055938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948280110592).

2532055938048 is an abundant number, since it is smaller than the sum of its proper divisors (7364504283136).

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

2532055938048 is a wasteful number, since it uses less digits than its factorization.

2532055938048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 2532055938048 in words is "two trillion, five hundred thirty-two billion, fifty-five million, nine hundred thirty-eight thousand, forty-eight".