2532726842760 has 256 divisors, whose sum is σ = 8610761376000. Its totient is φ = 661953576960.

The previous prime is 2532726842749. The next prime is 2532726842771. The reversal of 2532726842760 is 672486272352.

2532726842760 is a `hidden beast` number, since 2 + 5 + 32 + 72 + 68 + 427 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2532726842749) and next prime (2532726842771).

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

It is a junction number, because it is equal to n+sod(n) for n = 2532726842697 and 2532726842706.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 55557256 + ... + 55602824.

It is an arithmetic number, because the mean of its divisors is an integer number (33635786625).

Almost surely, 2^{2532726842760} is an apocalyptic number.

2532726842760 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 2532726842760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305380688000).

2532726842760 is an abundant number, since it is smaller than the sum of its proper divisors (6078034533240).

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

2532726842760 is a wasteful number, since it uses less digits than its factorization.

2532726842760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46613 (or 46603 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2532726842760 in words is "two trillion, five hundred thirty-two billion, seven hundred twenty-six million, eight hundred forty-two thousand, seven hundred sixty".