2968864157952 has 432 divisors, whose sum is σ = 11141287214400. Its totient is φ = 771132579840.

The previous prime is 2968864157927. The next prime is 2968864157993. The reversal of 2968864157952 is 2597514688692.

2968864157952 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 8 + 6 + 41 + 579 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3327124 + ... + 4124012.

It is an arithmetic number, because the mean of its divisors is an integer number (25790016700).

Almost surely, 2^{2968864157952} is an apocalyptic number.

2968864157952 is a gapful number since it is divisible by the number (22) 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 2968864157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570643607200).

2968864157952 is an abundant number, since it is smaller than the sum of its proper divisors (8172423056448).

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

2968864157952 is a wasteful number, since it uses less digits than its factorization.

2968864157952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796939 (or 796912 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 2968864157952 in words is "two trillion, nine hundred sixty-eight billion, eight hundred sixty-four million, one hundred fifty-seven thousand, nine hundred fifty-two".