2719784064 has 128 divisors (see below), whose sum is σ = 7456754880. Its totient is φ = 877916160.

The previous prime is 2719784057. The next prime is 2719784129. The reversal of 2719784064 is 4604879172.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568542 + ... + 1570274.

Almost surely, 2^2719784064 is an apocalyptic number.

2719784064 is a gapful number since it is divisible by the number (24) 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 2719784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728377440).

2719784064 is an abundant number, since it is smaller than the sum of its proper divisors (4736970816).

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

2719784064 is a wasteful number, since it uses less digits than its factorization.

2719784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 2719784064 is about 52151.5490086344. The cubic root of 2719784064 is about 1395.8694688887.

The spelling of 2719784064 in words is "two billion, seven hundred nineteen million, seven hundred eighty-four thousand, sixty-four".