2740841600 has 192 divisors, whose sum is σ = 7949520960. Its totient is φ = 914042880.

The previous prime is 2740841581. The next prime is 2740841633. The reversal of 2740841600 is 61480472.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827147 + ... + 830453.

It is an arithmetic number, because the mean of its divisors is an integer number (41403755).

Almost surely, 2^2740841600 is an apocalyptic number.

2740841600 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 2740841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974760480).

2740841600 is an abundant number, since it is smaller than the sum of its proper divisors (5208679360).

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

2740841600 is a wasteful number, since it uses less digits than its factorization.

2740841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2740841600 is about 52353.0476667787. The cubic root of 2740841600 is about 1399.4626509235.

The spelling of 2740841600 in words is "two billion, seven hundred forty million, eight hundred forty-one thousand, six hundred".