2119434240 has 456 divisors, whose sum is σ = 8606695392. Its totient is φ = 440401920.

The previous prime is 2119434221. The next prime is 2119434263. The reversal of 2119434240 is 424349112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2119434198 and 2119434207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192675835 + ... + 192675845.

It is an arithmetic number, because the mean of its divisors is an integer number (18874332).

Almost surely, 2^2119434240 is an apocalyptic number.

2119434240 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 2119434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303347696).

2119434240 is an abundant number, since it is smaller than the sum of its proper divisors (6487261152).

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

2119434240 is an frugal number, since it uses more digits than its factorization.

2119434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2119434240 is about 46037.3135619358. The cubic root of 2119434240 is about 1284.5173718840.

The spelling of 2119434240 in words is "two billion, one hundred nineteen million, four hundred thirty-four thousand, two hundred forty".