2967444480 has 704 divisors, whose sum is σ = 12809438208. Its totient is φ = 566231040.

The previous prime is 2967444451. The next prime is 2967444481. The reversal of 2967444480 is 844447692.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967444481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15375264 + ... + 15375456.

Almost surely, 2^2967444480 is an apocalyptic number.

2967444480 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 2967444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404719104).

2967444480 is an abundant number, since it is smaller than the sum of its proper divisors (9841993728).

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

2967444480 is a wasteful number, since it uses less digits than its factorization.

2967444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 2967444480 is about 54474.2552037199. The cubic root of 2967444480 is about 1437.0135637560.

The spelling of 2967444480 in words is "two billion, nine hundred sixty-seven million, four hundred forty-four thousand, four hundred eighty".