2661892896 has 96 divisors (see below), whose sum is σ = 7545968640. Its totient is φ = 816758784.

The previous prime is 2661892823. The next prime is 2661892907. The reversal of 2661892896 is 6982981662.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 475200 + ... + 480768.

It is an arithmetic number, because the mean of its divisors is an integer number (78603840).

Almost surely, 2^2661892896 is an apocalyptic number.

2661892896 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 2661892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772984320).

2661892896 is an abundant number, since it is smaller than the sum of its proper divisors (4884075744).

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

2661892896 is a wasteful number, since it uses less digits than its factorization.

2661892896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5970 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 57.

The square root of 2661892896 is about 51593.5354090026. The cubic root of 2661892896 is about 1385.8945675023.

The spelling of 2661892896 in words is "two billion, six hundred sixty-one million, eight hundred ninety-two thousand, eight hundred ninety-six".