2705334240 has 96 divisors (see below), whose sum is σ = 9739215360. Its totient is φ = 618361344.

The previous prime is 2705334239. The next prime is 2705334251. The reversal of 2705334240 is 424335072.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2705334198 and 2705334207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399220 + ... + 405939.

It is an arithmetic number, because the mean of its divisors is an integer number (101450160).

Almost surely, 2^2705334240 is an apocalyptic number.

2705334240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2705334240 is an abundant number, since it is smaller than the sum of its proper divisors (7033881120).

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

2705334240 is a wasteful number, since it uses less digits than its factorization.

2705334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805184 (or 805176 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 2705334240 is about 52012.8276485715. The cubic root of 2705334240 is about 1393.3930597679.

The spelling of 2705334240 in words is "two billion, seven hundred five million, three hundred thirty-four thousand, two hundred forty".