2969905808880 has 320 divisors, whose sum is σ = 10379485670400. Its totient is φ = 780389084160.

The previous prime is 2969905808839. The next prime is 2969905808941. The reversal of 2969905808880 is 888085099692.

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

It is a junction number, because it is equal to n+sod(n) for n = 2969905808799 and 2969905808808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354104047 + ... + 354112433.

It is an arithmetic number, because the mean of its divisors is an integer number (32435892720).

Almost surely, 2^{2969905808880} is an apocalyptic number.

2969905808880 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 2969905808880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189742835200).

2969905808880 is an abundant number, since it is smaller than the sum of its proper divisors (7409579861520).

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

2969905808880 is a wasteful number, since it uses less digits than its factorization.

2969905808880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 2969905808880 in words is "two trillion, nine hundred sixty-nine billion, nine hundred five million, eight hundred eight thousand, eight hundred eighty".