2741346720 has 384 divisors, whose sum is σ = 11038809600. Its totient is φ = 622411776.

The previous prime is 2741346697. The next prime is 2741346757. The reversal of 2741346720 is 276431472.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8134392 + ... + 8134728.

It is an arithmetic number, because the mean of its divisors is an integer number (28746900).

Almost surely, 2^2741346720 is an apocalyptic number.

2741346720 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 2741346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519404800).

2741346720 is an abundant number, since it is smaller than the sum of its proper divisors (8297462880).

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

2741346720 is a wasteful number, since it uses less digits than its factorization.

2741346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2741346720 is about 52357.8716144956. The cubic root of 2741346720 is about 1399.5486163867.

The spelling of 2741346720 in words is "two billion, seven hundred forty-one million, three hundred forty-six thousand, seven hundred twenty".