2725646976 has 512 divisors, whose sum is σ = 9504768000. Its totient is φ = 761425920.

The previous prime is 2725646971. The next prime is 2725647011. The reversal of 2725646976 is 6796465272.

2725646976 is a `hidden beast` number, since 2 + 7 + 2 + 564 + 6 + 9 + 76 = 666.

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

Its product of digits (7620480) is a multiple of the sum of its prime factors (189).

It is not an unprimeable number, because it can be changed into a prime (2725646971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26462541 + ... + 26462643.

It is an arithmetic number, because the mean of its divisors is an integer number (18564000).

Almost surely, 2^2725646976 is an apocalyptic number.

2725646976 is a gapful number since it is divisible by the number (26) 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 2725646976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752384000).

2725646976 is an abundant number, since it is smaller than the sum of its proper divisors (6779121024).

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

2725646976 is a wasteful number, since it uses less digits than its factorization.

2725646976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 2725646976 is about 52207.7290829624. The cubic root of 2725646976 is about 1396.8717526703.

The spelling of 2725646976 in words is "two billion, seven hundred twenty-five million, six hundred forty-six thousand, nine hundred seventy-six".