2967246720 has 288 divisors, whose sum is σ = 10821512520. Its totient is φ = 749094912.

The previous prime is 2967246677. The next prime is 2967246727. The reversal of 2967246720 is 276427692.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967246727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2078647 + ... + 2080073.

Almost surely, 2^2967246720 is an apocalyptic number.

2967246720 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 2967246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410756260).

2967246720 is an abundant number, since it is smaller than the sum of its proper divisors (7854265800).

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

2967246720 is a wasteful number, since it uses less digits than its factorization.

2967246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2967246720 is about 54472.4400040975. The cubic root of 2967246720 is about 1436.9816406521.

The spelling of 2967246720 in words is "two billion, nine hundred sixty-seven million, two hundred forty-six thousand, seven hundred twenty".