2119173840 has 560 divisors, whose sum is σ = 8782473600. Its totient is φ = 465067008.

The previous prime is 2119173829. The next prime is 2119173851. The reversal of 2119173840 is 483719112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2119173829) and next prime (2119173851).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2119173795 and 2119173804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11838871 + ... + 11839049.

Almost surely, 2^2119173840 is an apocalyptic number.

2119173840 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 2119173840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391236800).

2119173840 is an abundant number, since it is smaller than the sum of its proper divisors (6663299760).

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

2119173840 is a wasteful number, since it uses less digits than its factorization.

2119173840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2119173840 is about 46034.4853343665. The cubic root of 2119173840 is about 1284.4647631867.

The spelling of 2119173840 in words is "two billion, one hundred nineteen million, one hundred seventy-three thousand, eight hundred forty".