2719867248 has 200 divisors, whose sum is σ = 9053893728. Its totient is φ = 772167168.

The previous prime is 2719867217. The next prime is 2719867259. The reversal of 2719867248 is 8427689172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2719867194 and 2719867203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1568590 + ... + 1570322.

Almost surely, 2^2719867248 is an apocalyptic number.

2719867248 is a gapful number since it is divisible by the number (28) 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 2719867248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526946864).

2719867248 is an abundant number, since it is smaller than the sum of its proper divisors (6334026480).

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

2719867248 is a wasteful number, since it uses less digits than its factorization.

2719867248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1918 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 2719867248 is about 52152.3465243895. The cubic root of 2719867248 is about 1395.8836995310.

The spelling of 2719867248 in words is "two billion, seven hundred nineteen million, eight hundred sixty-seven thousand, two hundred forty-eight".