2671240704 has 320 divisors, whose sum is σ = 8379106560. Its totient is φ = 747601920.

The previous prime is 2671240699. The next prime is 2671240801. The reversal of 2671240704 is 4070421762.

2671240704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 17014194 + ... + 17014350.

It is an arithmetic number, because the mean of its divisors is an integer number (26184708).

Almost surely, 2^2671240704 is an apocalyptic number.

2671240704 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 2671240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189553280).

2671240704 is an abundant number, since it is smaller than the sum of its proper divisors (5707865856).

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

2671240704 is a wasteful number, since it uses less digits than its factorization.

2671240704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2671240704 is about 51684.0469003734. The cubic root of 2671240704 is about 1387.5149608970.

The spelling of 2671240704 in words is "two billion, six hundred seventy-one million, two hundred forty thousand, seven hundred four".