2945967696 has 240 divisors, whose sum is σ = 10151731200. Its totient is φ = 778947840.

The previous prime is 2945967691. The next prime is 2945967707. The reversal of 2945967696 is 6967695492.

2945967696 is a `hidden beast` number, since 29 + 459 + 6 + 76 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2945967691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716655 + ... + 720753.

It is an arithmetic number, because the mean of its divisors is an integer number (42298880).

Almost surely, 2^2945967696 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 2945967696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075865600).

2945967696 is an abundant number, since it is smaller than the sum of its proper divisors (7205763504).

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

2945967696 is a wasteful number, since it uses less digits than its factorization.

2945967696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4165 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The square root of 2945967696 is about 54276.7693953868. The cubic root of 2945967696 is about 1433.5383865761.

The spelling of 2945967696 in words is "two billion, nine hundred forty-five million, nine hundred sixty-seven thousand, six hundred ninety-six".