2940144480 has 672 divisors, whose sum is σ = 12863962944. Its totient is φ = 618098688.

The previous prime is 2940144469. The next prime is 2940144491. The reversal of 2940144480 is 844410492.

It is an interprime number because it is at equal distance from previous prime (2940144469) and next prime (2940144491).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10614102 + ... + 10614378.

It is an arithmetic number, because the mean of its divisors is an integer number (19142802).

Almost surely, 2^2940144480 is an apocalyptic number.

2940144480 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 2940144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431981472).

2940144480 is an abundant number, since it is smaller than the sum of its proper divisors (9923818464).

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

2940144480 is a wasteful number, since it uses less digits than its factorization.

2940144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2940144480 is about 54223.0991368070. The cubic root of 2940144480 is about 1432.5932178038.

The spelling of 2940144480 in words is "two billion, nine hundred forty million, one hundred forty-four thousand, four hundred eighty".