2119098516480 has 1100 divisors, whose sum is σ = 8376898183500. Its totient is φ = 512248872960.

The previous prime is 2119098516467. The next prime is 2119098516533. The reversal of 2119098516480 is 846158909112.

2119098516480 is a `hidden beast` number, since 2 + 119 + 0 + 9 + 8 + 516 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1167022162944 + 952076353536 = 1080288^2 + 975744^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 6071915346 + ... + 6071915694.

It is an arithmetic number, because the mean of its divisors is an integer number (7615361985).

Almost surely, 2^{2119098516480} is an apocalyptic number.

2119098516480 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 2119098516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188449091750).

2119098516480 is an abundant number, since it is smaller than the sum of its proper divisors (6257799667020).

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

2119098516480 is an frugal number, since it uses more digits than its factorization.

2119098516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 2119098516480 in words is "two trillion, one hundred nineteen billion, ninety-eight million, five hundred sixteen thousand, four hundred eighty".