2725696512 has 528 divisors, whose sum is σ = 10300372992. Its totient is φ = 673136640.

The previous prime is 2725696499. The next prime is 2725696517. The reversal of 2725696512 is 2156965272.

2725696512 is a `hidden beast` number, since 2 + 72 + 5 + 69 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×2725696512² = 14858842951057932288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725696517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16321453 + ... + 16321619.

Almost surely, 2^2725696512 is an apocalyptic number.

2725696512 is a gapful number since it is divisible by the number (22) 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 2725696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150186496).

2725696512 is an abundant number, since it is smaller than the sum of its proper divisors (7574676480).

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

2725696512 is a wasteful number, since it uses less digits than its factorization.

2725696512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 2725696512 is about 52208.2034933209. The cubic root of 2725696512 is about 1396.8802148838.

The spelling of 2725696512 in words is "two billion, seven hundred twenty-five million, six hundred ninety-six thousand, five hundred twelve".