2532706700160 has 768 divisors, whose sum is σ = 10645815398400. Its totient is φ = 506243727360.

The previous prime is 2532706700143. The next prime is 2532706700177. The reversal of 2532706700160 is 610076072352.

It is an interprime number because it is at equal distance from previous prime (2532706700143) and next prime (2532706700177).

It is a super-2 number, since 2×2532706700160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 23183265 + ... + 23292255.

It is an arithmetic number, because the mean of its divisors is an integer number (13861738800).

Almost surely, 2^{2532706700160} is an apocalyptic number.

2532706700160 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 2532706700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322907699200).

2532706700160 is an abundant number, since it is smaller than the sum of its proper divisors (8113108698240).

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

2532706700160 is a wasteful number, since it uses less digits than its factorization.

2532706700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109059 (or 109040 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 2532706700160 in words is "two trillion, five hundred thirty-two billion, seven hundred six million, seven hundred thousand, one hundred sixty".