2969399088000 has 1920 divisors, whose sum is σ = 11942573385600. Its totient is φ = 730017792000.

The previous prime is 2969399087999. The next prime is 2969399088023. The reversal of 2969399088000 is 8809939692.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63178703977 + ... + 63178704023.

It is an arithmetic number, because the mean of its divisors is an integer number (6220090305).

Almost surely, 2^{2969399088000} is an apocalyptic number.

2969399088000 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 2969399088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971286692800).

2969399088000 is an abundant number, since it is smaller than the sum of its proper divisors (8973174297600).

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

2969399088000 is an equidigital number, since it uses as much as digits as its factorization.

2969399088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 2969399088000 in words is "two trillion, nine hundred sixty-nine billion, three hundred ninety-nine million, eighty-eight thousand".