2967945297408 has 2160 divisors, whose sum is σ = 11889934776720. Its totient is φ = 731398864896.

The previous prime is 2967945297403. The next prime is 2967945297433. The reversal of 2967945297408 is 8047925497692.

2967945297408 is a `hidden beast` number, since 2 + 9 + 6 + 7 + 94 + 529 + 7 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967945297403) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 40656784860 + ... + 40656784932.

Almost surely, 2^{2967945297408} is an apocalyptic number.

2967945297408 is a gapful number since it is divisible by the number (28) 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 2967945297408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944967388360).

2967945297408 is an abundant number, since it is smaller than the sum of its proper divisors (8921989479312).

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

2967945297408 is an frugal number, since it uses more digits than its factorization.

2967945297408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 2967945297408 in words is "two trillion, nine hundred sixty-seven billion, nine hundred forty-five million, two hundred ninety-seven thousand, four hundred eight".