2941257664 has 56 divisors (see below), whose sum is σ = 6101425440. Its totient is φ = 1404125184.

The previous prime is 2941257659. The next prime is 2941257667. The reversal of 2941257664 is 4667521492.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2941257667) 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 7 ways as a sum of consecutive naturals, for example, 989172 + ... + 992140.

Almost surely, 2^2941257664 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 2941257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050712720).

2941257664 is an abundant number, since it is smaller than the sum of its proper divisors (3160167776).

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

2941257664 is a wasteful number, since it uses less digits than its factorization.

2941257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3667 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 2941257664 is about 54233.3630157673. The cubic root of 2941257664 is about 1432.7739956122.

The spelling of 2941257664 in words is "two billion, nine hundred forty-one million, two hundred fifty-seven thousand, six hundred sixty-four".