2704335040 has 112 divisors (see below), whose sum is σ = 7094280960. Its totient is φ = 973716480.

The previous prime is 2704335001. The next prime is 2704335047. The reversal of 2704335040 is 405334072.

It is a super-3 number, since 3×2704335040³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2704335047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358831 + ... + 366289.

Almost surely, 2^2704335040 is an apocalyptic number.

2704335040 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 2704335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547140480).

2704335040 is an abundant number, since it is smaller than the sum of its proper divisors (4389945920).

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

2704335040 is a wasteful number, since it uses less digits than its factorization.

2704335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 2704335040 is about 52003.2214386763. The cubic root of 2704335040 is about 1393.2214913445.

The spelling of 2704335040 in words is "two billion, seven hundred four million, three hundred thirty-five thousand, forty".