2719491840 has 288 divisors, whose sum is σ = 10394475840. Its totient is φ = 669302784.

The previous prime is 2719491839. The next prime is 2719491847. The reversal of 2719491840 is 481949172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2719491847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446254 + ... + 452306.

It is an arithmetic number, because the mean of its divisors is an integer number (36091930).

Almost surely, 2^2719491840 is an apocalyptic number.

2719491840 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 2719491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197237920).

2719491840 is an abundant number, since it is smaller than the sum of its proper divisors (7674984000).

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

2719491840 is a wasteful number, since it uses less digits than its factorization.

2719491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6076 counting only the distinct ones).

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

The square root of 2719491840 is about 52148.7472524508. The cubic root of 2719491840 is about 1395.8194745804.

The spelling of 2719491840 in words is "two billion, seven hundred nineteen million, four hundred ninety-one thousand, eight hundred forty".