2979504000 has 960 divisors, whose sum is σ = 12803590800. Its totient is φ = 684288000.

The previous prime is 2979503999. The next prime is 2979504007. The reversal of 2979504000 is 4059792.

2979504000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979504007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 156815991 + ... + 156816009.

Almost surely, 2^2979504000 is an apocalyptic number.

2979504000 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 2979504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401795400).

2979504000 is an abundant number, since it is smaller than the sum of its proper divisors (9824086800).

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

2979504000 is a wasteful number, since it uses less digits than its factorization.

2979504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2979504000 is about 54584.8330582773. The cubic root of 2979504000 is about 1438.9575789031.

The spelling of 2979504000 in words is "two billion, nine hundred seventy-nine million, five hundred four thousand".