2719928640 has 224 divisors, whose sum is σ = 10146036096. Its totient is φ = 608624640.

The previous prime is 2719928639. The next prime is 2719928657. The reversal of 2719928640 is 468299172.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2719928640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127374 + ... + 147186.

It is an arithmetic number, because the mean of its divisors is an integer number (45294804).

Almost surely, 2^2719928640 is an apocalyptic number.

2719928640 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 2719928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073018048).

2719928640 is an abundant number, since it is smaller than the sum of its proper divisors (7426107456).

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

2719928640 is a wasteful number, since it uses less digits than its factorization.

2719928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19857 (or 19847 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 2719928640 is about 52152.9351043640. The cubic root of 2719928640 is about 1395.8942019366.

The spelling of 2719928640 in words is "two billion, seven hundred nineteen million, nine hundred twenty-eight thousand, six hundred forty".