2942811648 has 480 divisors, whose sum is σ = 10485995520. Its totient is φ = 806215680.

The previous prime is 2942811629. The next prime is 2942811671. The reversal of 2942811648 is 8461182492.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26998218 + ... + 26998326.

It is an arithmetic number, because the mean of its divisors is an integer number (21845824).

Almost surely, 2^2942811648 is an apocalyptic number.

2942811648 is a gapful number since it is divisible by the number (28) 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 2942811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242997760).

2942811648 is an abundant number, since it is smaller than the sum of its proper divisors (7543183872).

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

2942811648 is an equidigital number, since it uses as much as digits as its factorization.

2942811648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2942811648 is about 54247.6879507321. The cubic root of 2942811648 is about 1433.0262817787.

The spelling of 2942811648 in words is "two billion, nine hundred forty-two million, eight hundred eleven thousand, six hundred forty-eight".