2148368744340 has 288 divisors, whose sum is σ = 8492376372480. Its totient is φ = 426618482688.

The previous prime is 2148368744257. The next prime is 2148368744341. The reversal of 2148368744340 is 434478638412.

2148368744340 is a `hidden beast` number, since 2 + 1 + 4 + 83 + 6 + 87 + 443 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148368744341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3579130 + ... + 4136049.

It is an arithmetic number, because the mean of its divisors is an integer number (29487417960).

Almost surely, 2^{2148368744340} is an apocalyptic number.

2148368744340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148368744340 is an abundant number, since it is smaller than the sum of its proper divisors (6344007628140).

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

2148368744340 is a wasteful number, since it uses less digits than its factorization.

2148368744340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7715231 (or 7715226 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 2148368744340 in words is "two trillion, one hundred forty-eight billion, three hundred sixty-eight million, seven hundred forty-four thousand, three hundred forty".