2741909940 has 576 divisors, whose sum is σ = 11412430848. Its totient is φ = 534988800.

The previous prime is 2741909903. The next prime is 2741909977. The reversal of 2741909940 is 499091472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2741909903) and next prime (2741909977).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6361525 + ... + 6361955.

It is an arithmetic number, because the mean of its divisors is an integer number (19813248).

Almost surely, 2^2741909940 is an apocalyptic number.

2741909940 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 2741909940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706215424).

2741909940 is an abundant number, since it is smaller than the sum of its proper divisors (8670520908).

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

2741909940 is a wasteful number, since it uses less digits than its factorization.

2741909940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2741909940 is about 52363.2498991421. The cubic root of 2741909940 is about 1399.6444573334.

The spelling of 2741909940 in words is "two billion, seven hundred forty-one million, nine hundred nine thousand, nine hundred forty".