2743007904 has 432 divisors, whose sum is σ = 9870299712. Its totient is φ = 707346432.

The previous prime is 2743007893. The next prime is 2743007921. The reversal of 2743007904 is 4097003472.

It is a super-2 number, since 2×2743007904² = 15048184722812946432, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28278384 + ... + 28278480.

It is an arithmetic number, because the mean of its divisors is an integer number (22847916).

Almost surely, 2^2743007904 is an apocalyptic number.

2743007904 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 2743007904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935149856).

2743007904 is an abundant number, since it is smaller than the sum of its proper divisors (7127291808).

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

2743007904 is a wasteful number, since it uses less digits than its factorization.

2743007904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2743007904 is about 52373.7329584211. The cubic root of 2743007904 is about 1399.8312558523.

The spelling of 2743007904 in words is "two billion, seven hundred forty-three million, seven thousand, nine hundred four".