2719209920 has 336 divisors, whose sum is σ = 7988381280. Its totient is φ = 877879296.

The previous prime is 2719209893. The next prime is 2719209931. The reversal of 2719209920 is 299029172.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 24946826 + ... + 24946934.

Almost surely, 2^2719209920 is an apocalyptic number.

2719209920 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 2719209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994190640).

2719209920 is an abundant number, since it is smaller than the sum of its proper divisors (5269171360).

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

2719209920 is a wasteful number, since it uses less digits than its factorization.

2719209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 2719209920 is about 52146.0441452657. The cubic root of 2719209920 is about 1395.7712397080.

The spelling of 2719209920 in words is "two billion, seven hundred nineteen million, two hundred nine thousand, nine hundred twenty".