2979376100 has 72 divisors (see below), whose sum is σ = 6673843680. Its totient is φ = 1153912320.

The previous prime is 2979376087. The next prime is 2979376109. The reversal of 2979376100 is 16739792.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2979376109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 391532 + ... + 399068.

Almost surely, 2^2979376100 is an apocalyptic number.

2979376100 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 2979376100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336921840).

2979376100 is an abundant number, since it is smaller than the sum of its proper divisors (3694467580).

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

2979376100 is a wasteful number, since it uses less digits than its factorization.

2979376100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7677 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 44.

The square root of 2979376100 is about 54583.6614748406. The cubic root of 2979376100 is about 1438.9369887525.

The spelling of 2979376100 in words is "two billion, nine hundred seventy-nine million, three hundred seventy-six thousand, one hundred".