2719418940 has 384 divisors, whose sum is σ = 10363852800. Its totient is φ = 577843200.

The previous prime is 2719418939. The next prime is 2719418951. The reversal of 2719418940 is 498149172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 6490051 + ... + 6490469.

It is an arithmetic number, because the mean of its divisors is an integer number (26989200).

Almost surely, 2^2719418940 is an apocalyptic number.

2719418940 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 2719418940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181926400).

2719418940 is an abundant number, since it is smaller than the sum of its proper divisors (7644433860).

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

2719418940 is a wasteful number, since it uses less digits than its factorization.

2719418940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2719418940 is about 52148.0482856262. The cubic root of 2719418940 is about 1395.8070021339.

The spelling of 2719418940 in words is "two billion, seven hundred nineteen million, four hundred eighteen thousand, nine hundred forty".