2726141964 has 384 divisors, whose sum is σ = 8941363200. Its totient is φ = 625397760.

The previous prime is 2726141939. The next prime is 2726141969. The reversal of 2726141964 is 4691416272.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2726141969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20810179 + ... + 20810309.

It is an arithmetic number, because the mean of its divisors is an integer number (23284800).

Almost surely, 2^2726141964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2726141964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470681600).

2726141964 is an abundant number, since it is smaller than the sum of its proper divisors (6215221236).

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

2726141964 is a wasteful number, since it uses less digits than its factorization.

2726141964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2726141964 is about 52212.4694302041. The cubic root of 2726141964 is about 1396.9563066507.

The spelling of 2726141964 in words is "two billion, seven hundred twenty-six million, one hundred forty-one thousand, nine hundred sixty-four".