2401734340 has 48 divisors (see below), whose sum is σ = 5105968560. Its totient is φ = 948879360.

The previous prime is 2401734323. The next prime is 2401734353. The reversal of 2401734340 is 434371042.

2401734340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 358875136 + 2042859204 = 18944^2 + 45198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2401734299 and 2401734308.

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, 767980 + ... + 771100.

It is an arithmetic number, because the mean of its divisors is an integer number (106374345).

Almost surely, 2^2401734340 is an apocalyptic number.

2401734340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401734340 is an abundant number, since it is smaller than the sum of its proper divisors (2704234220).

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

2401734340 is a wasteful number, since it uses less digits than its factorization.

2401734340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2401734340 is about 49007.4926924445. The cubic root of 2401734340 is about 1339.1883292718.

The spelling of 2401734340 in words is "two billion, four hundred one million, seven hundred thirty-four thousand, three hundred forty".