2741219040 has 192 divisors, whose sum is σ = 10098418176. Its totient is φ = 611960832.

The previous prime is 2741219021. The next prime is 2741219059. The reversal of 2741219040 is 409121472.

2741219040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2741219021) and next prime (2741219059).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2741218989 and 2741219007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134994 + ... + 153966.

It is an arithmetic number, because the mean of its divisors is an integer number (52595928).

Almost surely, 2^2741219040 is an apocalyptic number.

2741219040 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 2741219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049209088).

2741219040 is an abundant number, since it is smaller than the sum of its proper divisors (7357199136).

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

2741219040 is a wasteful number, since it uses less digits than its factorization.

2741219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19041 (or 19033 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2741219040 is about 52356.6522993974. The cubic root of 2741219040 is about 1399.5268877548.

The spelling of 2741219040 in words is "two billion, seven hundred forty-one million, two hundred nineteen thousand, forty".