2979400000 has 84 divisors (see below), whose sum is σ = 7390331676. Its totient is φ = 1191680000.

The previous prime is 2979399989. The next prime is 2979400001. The reversal of 2979400000 is 49792.

It can be written as a sum of positive squares in 6 ways, for example, as 1766689024 + 1212710976 = 42032^2 + 34824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192552 + ... + 207448.

It is an arithmetic number, because the mean of its divisors is an integer number (87980139).

Almost surely, 2^2979400000 is an apocalyptic number.

2979400000 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 2979400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695165838).

2979400000 is an abundant number, since it is smaller than the sum of its proper divisors (4410931676).

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

2979400000 is an frugal number, since it uses more digits than its factorization.

2979400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14934 (or 14904 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 2979400000 is about 54583.8804043831. The cubic root of 2979400000 is about 1438.9408363704.

Adding to 2979400000 its reverse (49792), we get a palindrome (2979449792).

The spelling of 2979400000 in words is "two billion, nine hundred seventy-nine million, four hundred thousand".