2979729100 has 54 divisors (see below), whose sum is σ = 6526626540. Its totient is φ = 1180761120.

The previous prime is 2979729089. The next prime is 2979729107. The reversal of 2979729100 is 19279792.

2979729100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2979729107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6435469 + ... + 6435931.

Almost surely, 2^2979729100 is an apocalyptic number.

2979729100 is a gapful number since it is divisible by the number (20) 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 2979729100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263313270).

2979729100 is an abundant number, since it is smaller than the sum of its proper divisors (3546897440).

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

2979729100 is a wasteful number, since it uses less digits than its factorization.

2979729100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 46.

The square root of 2979729100 is about 54586.8949474139. The cubic root of 2979729100 is about 1438.9938154931.

The spelling of 2979729100 in words is "two billion, nine hundred seventy-nine million, seven hundred twenty-nine thousand, one hundred".