2968866311040 has 1536 divisors, whose sum is σ = 12623830732800. Its totient is φ = 645569740800.

The previous prime is 2968866310987. The next prime is 2968866311101. The reversal of 2968866311040 is 401136688692.

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 191 ways as a sum of consecutive naturals, for example, 10955226105 + ... + 10955226375.

It is an arithmetic number, because the mean of its divisors is an integer number (8218639800).

Almost surely, 2^{2968866311040} is an apocalyptic number.

2968866311040 is a gapful number since it is divisible by the number (20) 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 2968866311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311915366400).

2968866311040 is an abundant number, since it is smaller than the sum of its proper divisors (9654964421760).

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

2968866311040 is a wasteful number, since it uses less digits than its factorization.

2968866311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2968866311040 in words is "two trillion, nine hundred sixty-eight billion, eight hundred sixty-six million, three hundred eleven thousand, forty".