2119487460480 has 576 divisors, whose sum is σ = 8002472587200. Its totient is φ = 516630306816.

The previous prime is 2119487460427. The next prime is 2119487460481. The reversal of 2119487460480 is 840647849112.

2119487460480 is a `hidden beast` number, since 2 + 1 + 1 + 94 + 8 + 74 + 6 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (2119487460481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100253751 + ... + 100274889.

It is an arithmetic number, because the mean of its divisors is an integer number (13893181575).

Almost surely, 2^{2119487460480} is an apocalyptic number.

2119487460480 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 2119487460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001236293600).

2119487460480 is an abundant number, since it is smaller than the sum of its proper divisors (5882985126720).

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

2119487460480 is a wasteful number, since it uses less digits than its factorization.

2119487460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21293 (or 21265 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2119487460480 in words is "two trillion, one hundred nineteen billion, four hundred eighty-seven million, four hundred sixty thousand, four hundred eighty".