2967238656 has 240 divisors, whose sum is σ = 9164675520. Its totient is φ = 955514880.

The previous prime is 2967238621. The next prime is 2967238661. The reversal of 2967238656 is 6568327692.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5142240 + ... + 5142816.

It is an arithmetic number, because the mean of its divisors is an integer number (38186148).

Almost surely, 2^2967238656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2967238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582337760).

2967238656 is an abundant number, since it is smaller than the sum of its proper divisors (6197436864).

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

2967238656 is an equidigital number, since it uses as much as digits as its factorization.

2967238656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 613 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2967238656 is about 54472.3659849653. The cubic root of 2967238656 is about 1436.9803389032.

The spelling of 2967238656 in words is "two billion, nine hundred sixty-seven million, two hundred thirty-eight thousand, six hundred fifty-six".