2941769664 has 336 divisors, whose sum is σ = 9226369152. Its totient is φ = 928392192.

The previous prime is 2941769659. The next prime is 2941769671. The reversal of 2941769664 is 4669671492.

It is a happy number.

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 2941769664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35442967 + ... + 35443049.

It is an arithmetic number, because the mean of its divisors is an integer number (27459432).

Almost surely, 2^2941769664 is an apocalyptic number.

2941769664 is a gapful number since it is divisible by the number (24) 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 2941769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613184576).

2941769664 is an abundant number, since it is smaller than the sum of its proper divisors (6284599488).

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

2941769664 is an equidigital number, since it uses as much as digits as its factorization.

2941769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 2941769664 is about 54238.0831519699. The cubic root of 2941769664 is about 1432.8571275927.

The spelling of 2941769664 in words is "two billion, nine hundred forty-one million, seven hundred sixty-nine thousand, six hundred sixty-four".