2734348680 has 384 divisors, whose sum is σ = 10897286400. Its totient is φ = 580386816.

The previous prime is 2734348667. The next prime is 2734348693. The reversal of 2734348680 is 868434372.

2734348680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 52291²-1.

It is an interprime number because it is at equal distance from previous prime (2734348667) and next prime (2734348693).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3555336 + ... + 3556104.

It is an arithmetic number, because the mean of its divisors is an integer number (28378350).

Almost surely, 2^2734348680 is an apocalyptic number.

2734348680 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 2734348680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448643200).

2734348680 is an abundant number, since it is smaller than the sum of its proper divisors (8162937720).

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

2734348680 is a wasteful number, since it uses less digits than its factorization.

2734348680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2734348680 is about 52290.9999904381. Note that the first 5 decimals coincide. The cubic root of 2734348680 is about 1398.3566908989.

The spelling of 2734348680 in words is "two billion, seven hundred thirty-four million, three hundred forty-eight thousand, six hundred eighty".