2740119984 has 240 divisors, whose sum is σ = 9256104000. Its totient is φ = 755500032.

The previous prime is 2740119947. The next prime is 2740120073. The reversal of 2740119984 is 4899110472.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1431412 + ... + 1433324.

It is an arithmetic number, because the mean of its divisors is an integer number (38567100).

Almost surely, 2^2740119984 is an apocalyptic number.

2740119984 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 2740119984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628052000).

2740119984 is an abundant number, since it is smaller than the sum of its proper divisors (6515984016).

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

2740119984 is a wasteful number, since it uses less digits than its factorization.

2740119984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2740119984 is about 52346.1553889108. The cubic root of 2740119984 is about 1399.3398220716.

The spelling of 2740119984 in words is "two billion, seven hundred forty million, one hundred nineteen thousand, nine hundred eighty-four".