2968688185320 has 384 divisors, whose sum is σ = 10583688407040. Its totient is φ = 660335569920.

The previous prime is 2968688185313. The next prime is 2968688185357. The reversal of 2968688185320 is 235818868692.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37214517 + ... + 37294203.

It is an arithmetic number, because the mean of its divisors is an integer number (27561688560).

Almost surely, 2^{2968688185320} is an apocalyptic number.

2968688185320 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 2968688185320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291844203520).

2968688185320 is an abundant number, since it is smaller than the sum of its proper divisors (7615000221720).

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

2968688185320 is a wasteful number, since it uses less digits than its factorization.

2968688185320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79905 (or 79888 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 2968688185320 in words is "two trillion, nine hundred sixty-eight billion, six hundred eighty-eight million, one hundred eighty-five thousand, three hundred twenty".