2929884048 has 480 divisors, whose sum is σ = 10742368000. Its totient is φ = 772716672.

The previous prime is 2929884047. The next prime is 2929884079. The reversal of 2929884048 is 8404889292.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2929884048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2929883985 and 2929884003.

It is not an unprimeable number, because it can be changed into a prime (2929884047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225375690 + ... + 225375702.

Almost surely, 2^2929884048 is an apocalyptic number.

2929884048 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 2929884048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371184000).

2929884048 is an abundant number, since it is smaller than the sum of its proper divisors (7812483952).

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

2929884048 is an frugal number, since it uses more digits than its factorization.

2929884048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2929884048 is about 54128.4033387278. The cubic root of 2929884048 is about 1430.9248012381.

The spelling of 2929884048 in words is "two billion, nine hundred twenty-nine million, eight hundred eighty-four thousand, forty-eight".