2741017680 has 120 divisors (see below), whose sum is σ = 9214901280. Its totient is φ = 730172160.

The previous prime is 2741017667. The next prime is 2741017681. The reversal of 2741017680 is 867101472.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741017681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135675 + ... + 1138085.

It is an arithmetic number, because the mean of its divisors is an integer number (76790844).

Almost surely, 2^2741017680 is an apocalyptic number.

2741017680 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 2741017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607450640).

2741017680 is an abundant number, since it is smaller than the sum of its proper divisors (6473883600).

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

2741017680 is a wasteful number, since it uses less digits than its factorization.

2741017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2741017680 is about 52354.7292992715. The cubic root of 2741017680 is about 1399.4926188607.

The spelling of 2741017680 in words is "two billion, seven hundred forty-one million, seventeen thousand, six hundred eighty".