2979440640 has 288 divisors, whose sum is σ = 11268784800. Its totient is φ = 722042880.

The previous prime is 2979440627. The next prime is 2979440647. The reversal of 2979440640 is 460449792.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2979440647) 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 23 ways as a sum of consecutive naturals, for example, 1012291 + ... + 1015229.

It is an arithmetic number, because the mean of its divisors is an integer number (39127725).

Almost surely, 2^2979440640 is an apocalyptic number.

2979440640 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 2979440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634392400).

2979440640 is an abundant number, since it is smaller than the sum of its proper divisors (8289344160).

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

2979440640 is a wasteful number, since it uses less digits than its factorization.

2979440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2979440640 is about 54584.2526741917. The cubic root of 2979440640 is about 1438.9473788834.

The spelling of 2979440640 in words is "two billion, nine hundred seventy-nine million, four hundred forty thousand, six hundred forty".