2119058137224 has 256 divisors, whose sum is σ = 7246098432000. Its totient is φ = 560439855360.

The previous prime is 2119058137223. The next prime is 2119058137249. The reversal of 2119058137224 is 4227318509112.

2119058137224 is a `hidden beast` number, since 2 + 1 + 19 + 0 + 581 + 37 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2119058137224.

It is not an unprimeable number, because it can be changed into a prime (2119058137223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95242 + ... + 2060870.

It is an arithmetic number, because the mean of its divisors is an integer number (28305072000).

Almost surely, 2^{2119058137224} is an apocalyptic number.

2119058137224 is a gapful number since it is divisible by the number (24) 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 2119058137224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623049216000).

2119058137224 is an abundant number, since it is smaller than the sum of its proper divisors (5127040294776).

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

2119058137224 is a wasteful number, since it uses less digits than its factorization.

2119058137224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965705 (or 1965695 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2119058137224 in words is "two trillion, one hundred nineteen billion, fifty-eight million, one hundred thirty-seven thousand, two hundred twenty-four".