2969880480 has 288 divisors, whose sum is σ = 11897069184. Its totient is φ = 660400128.

The previous prime is 2969880479. The next prime is 2969880503. The reversal of 2969880480 is 840889692.

2969880480 is a `hidden beast` number, since 29 + 69 + 8 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368979 + ... + 376941.

It is an arithmetic number, because the mean of its divisors is an integer number (41309268).

Almost surely, 2^2969880480 is an apocalyptic number.

2969880480 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 2969880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948534592).

2969880480 is an abundant number, since it is smaller than the sum of its proper divisors (8927188704).

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

2969880480 is a wasteful number, since it uses less digits than its factorization.

2969880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2969880480 is about 54496.6098028125. The cubic root of 2969880480 is about 1437.4066750251.

The spelling of 2969880480 in words is "two billion, nine hundred sixty-nine million, eight hundred eighty thousand, four hundred eighty".