2719786680 has 256 divisors, whose sum is σ = 9810662400. Its totient is φ = 666247680.

The previous prime is 2719786649. The next prime is 2719786697. The reversal of 2719786680 is 866879172.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4309965 + ... + 4310595.

It is an arithmetic number, because the mean of its divisors is an integer number (38322900).

Almost surely, 2^2719786680 is an apocalyptic number.

2719786680 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 2719786680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905331200).

2719786680 is an abundant number, since it is smaller than the sum of its proper divisors (7090875720).

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

2719786680 is a wasteful number, since it uses less digits than its factorization.

2719786680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2719786680 is about 52151.5740893791. The cubic root of 2719786680 is about 1395.8699164234.

The spelling of 2719786680 in words is "two billion, seven hundred nineteen million, seven hundred eighty-six thousand, six hundred eighty".