2119703040 has 640 divisors, whose sum is σ = 9294405120. Its totient is φ = 445906944.

The previous prime is 2119702999. The next prime is 2119703057. The reversal of 2119703040 is 403079112.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 2119702995 and 2119703013.

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, 6289752 + ... + 6290088.

It is an arithmetic number, because the mean of its divisors is an integer number (14522508).

Almost surely, 2^2119703040 is an apocalyptic number.

2119703040 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 2119703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647202560).

2119703040 is an abundant number, since it is smaller than the sum of its proper divisors (7174702080).

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

2119703040 is a wasteful number, since it uses less digits than its factorization.

2119703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2119703040 is about 46040.2328404190. The cubic root of 2119703040 is about 1284.5716731165.

The spelling of 2119703040 in words is "two billion, one hundred nineteen million, seven hundred three thousand, forty".