2968892264448 has 624 divisors, whose sum is σ = 9823286753280. Its totient is φ = 855672422400.

The previous prime is 2968892264383. The next prime is 2968892264519. The reversal of 2968892264448 is 8444622988692.

2968892264448 is a `hidden beast` number, since 2 + 96 + 8 + 8 + 92 + 2 + 6 + 4 + 448 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 741664815 + ... + 741668817.

It is an arithmetic number, because the mean of its divisors is an integer number (15742446720).

Almost surely, 2^{2968892264448} 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 2968892264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911643376640).

2968892264448 is an abundant number, since it is smaller than the sum of its proper divisors (6854394488832).

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

2968892264448 is a wasteful number, since it uses less digits than its factorization.

2968892264448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4109 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 2968892264448 in words is "two trillion, nine hundred sixty-eight billion, eight hundred ninety-two million, two hundred sixty-four thousand, four hundred forty-eight".