2965378896000 has 1280 divisors, whose sum is σ = 11395003276800. Its totient is φ = 763847884800.

The previous prime is 2965378895993. The next prime is 2965378896061. The reversal of 2965378896000 is 6988735692.

2965378896000 is a `hidden beast` number, since 2 + 9 + 6 + 537 + 8 + 8 + 96 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5421167727 + ... + 5421168273.

It is an arithmetic number, because the mean of its divisors is an integer number (8902346310).

Almost surely, 2^{2965378896000} is an apocalyptic number.

2965378896000 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 2965378896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697501638400).

2965378896000 is an abundant number, since it is smaller than the sum of its proper divisors (8429624380800).

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

2965378896000 is an equidigital number, since it uses as much as digits as its factorization.

2965378896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2965378896000 in words is "two trillion, nine hundred sixty-five billion, three hundred seventy-eight million, eight hundred ninety-six thousand".