2109719040 has 640 divisors, whose sum is σ = 8463958272. Its totient is φ = 440401920.

The previous prime is 2109719009. The next prime is 2109719069. The reversal of 2109719040 is 409179012.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2109718992 and 2109719010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18670024 + ... + 18670136.

Almost surely, 2^2109719040 is an apocalyptic number.

2109719040 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 2109719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231979136).

2109719040 is an abundant number, since it is smaller than the sum of its proper divisors (6354239232).

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

2109719040 is a wasteful number, since it uses less digits than its factorization.

2109719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 2109719040 is about 45931.6779575926. The cubic root of 2109719040 is about 1282.5516806764.

The spelling of 2109719040 in words is "two billion, one hundred nine million, seven hundred nineteen thousand, forty".