2935681407 has 8 divisors (see below), whose sum is σ = 4349157680. Its totient is φ = 1957120920.

The previous prime is 2935681391. The next prime is 2935681409. The reversal of 2935681407 is 7041865392.

2935681407 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2935681407 - 2⁴ = 2935681391 is a prime.

It is a Duffinian number.

2935681407 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2935681409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54364444 + ... + 54364497.

It is an arithmetic number, because the mean of its divisors is an integer number (543644710).

It is a 1-persistent number, because it is pandigital, but 2⋅2935681407 = 5871362814 is not.

Almost surely, 2^2935681407 is an apocalyptic number.

2935681407 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2935681407 is a deficient number, since it is larger than the sum of its proper divisors (1413476273).

2935681407 is a wasteful number, since it uses less digits than its factorization.

2935681407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108728950 (or 108728944 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2935681407 is about 54181.9287862660. The cubic root of 2935681407 is about 1431.8679693131.

The spelling of 2935681407 in words is "two billion, nine hundred thirty-five million, six hundred eighty-one thousand, four hundred seven".