2979840000 has 300 divisors, whose sum is σ = 10031682584. Its totient is φ = 786432000.

The previous prime is 2979839999. The next prime is 2979840011. The reversal of 2979840000 is 489792.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30719952 + ... + 30720048.

Almost surely, 2^2979840000 is an apocalyptic number.

2979840000 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 2979840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015841292).

2979840000 is an abundant number, since it is smaller than the sum of its proper divisors (7051842584).

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

2979840000 is an frugal number, since it uses more digits than its factorization.

2979840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2979840000 is about 54587.9107495423. The cubic root of 2979840000 is about 1439.0116675001.

The spelling of 2979840000 in words is "two billion, nine hundred seventy-nine million, eight hundred forty thousand".