2957680341 has 24 divisors (see below), whose sum is σ = 5326386624. Its totient is φ = 1536456960.

The previous prime is 2957680339. The next prime is 2957680373. The reversal of 2957680341 is 1430867592.

2957680341 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2957680341 - 2¹ = 2957680339 is a prime.

2957680341 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 (2957680301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2133276 + ... + 2134661.

It is an arithmetic number, because the mean of its divisors is an integer number (221932776).

It is a 1-persistent number, because it is pandigital, but 2⋅2957680341 = 5915360682 is not.

Almost surely, 2^2957680341 is an apocalyptic number.

2957680341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2957680341 is a deficient number, since it is larger than the sum of its proper divisors (2368706283).

2957680341 is a wasteful number, since it uses less digits than its factorization.

2957680341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267961 (or 4267958 counting only the distinct ones).

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

The square root of 2957680341 is about 54384.5597665367. The cubic root of 2957680341 is about 1435.4357057725.

The spelling of 2957680341 in words is "two billion, nine hundred fifty-seven million, six hundred eighty thousand, three hundred forty-one".