2935874291340 has 96 divisors (see below), whose sum is σ = 8444493711360. Its totient is φ = 761571507456.

The previous prime is 2935874291321. The next prime is 2935874291381. The reversal of 2935874291340 is 431924785392.

It is a super-2 number, since 2×2935874291340² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10029981 + ... + 10318539.

It is an arithmetic number, because the mean of its divisors is an integer number (87963476160).

Almost surely, 2^{2935874291340} is an apocalyptic number.

2935874291340 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 2935874291340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222246855680).

2935874291340 is an abundant number, since it is smaller than the sum of its proper divisors (5508619420020).

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

2935874291340 is a wasteful number, since it uses less digits than its factorization.

2935874291340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293191 (or 293189 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 2935874291340 in words is "two trillion, nine hundred thirty-five billion, eight hundred seventy-four million, two hundred ninety-one thousand, three hundred forty".