2979379200 has 576 divisors, whose sum is σ = 11991732480. Its totient is φ = 637009920.

The previous prime is 2979379181. The next prime is 2979379201. The reversal of 2979379200 is 29739792.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2979379200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979379201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18278319 + ... + 18278481.

It is an arithmetic number, because the mean of its divisors is an integer number (20818980).

Almost surely, 2^2979379200 is an apocalyptic number.

2979379200 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 2979379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995866240).

2979379200 is an abundant number, since it is smaller than the sum of its proper divisors (9012353280).

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

2979379200 is a wasteful number, since it uses less digits than its factorization.

2979379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 48.

The square root of 2979379200 is about 54583.6898716091. The cubic root of 2979379200 is about 1438.9374878171.

The spelling of 2979379200 in words is "two billion, nine hundred seventy-nine million, three hundred seventy-nine thousand, two hundred".