2929948632 has 256 divisors, whose sum is σ = 9167155200. Its totient is φ = 860958720.

The previous prime is 2929948591. The next prime is 2929948639. The reversal of 2929948632 is 2368499292.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2929948639) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8443483 + ... + 8443829.

It is an arithmetic number, because the mean of its divisors is an integer number (35809200).

Almost surely, 2^2929948632 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 2929948632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583577600).

2929948632 is an abundant number, since it is smaller than the sum of its proper divisors (6237206568).

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

2929948632 is a wasteful number, since it uses less digits than its factorization.

2929948632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 2929948632 is about 54128.9999168653. Note that the first 4 decimals coincide. The cubic root of 2929948632 is about 1430.9353152114.

The spelling of 2929948632 in words is "two billion, nine hundred twenty-nine million, nine hundred forty-eight thousand, six hundred thirty-two".