2146254369840 has 240 divisors, whose sum is σ = 8244320954688. Its totient is φ = 490167926784.

The previous prime is 2146254369827. The next prime is 2146254369841. The reversal of 2146254369840 is 489634526412.

2146254369840 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 2 + 543 + 6 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2146254369841) 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 47 ways as a sum of consecutive naturals, for example, 5958724 + ... + 6308636.

Almost surely, 2^{2146254369840} is an apocalyptic number.

2146254369840 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 2146254369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122160477344).

2146254369840 is an abundant number, since it is smaller than the sum of its proper divisors (6098066584848).

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

2146254369840 is a wasteful number, since it uses less digits than its factorization.

2146254369840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351156 (or 351147 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2146254369840 in words is "two trillion, one hundred forty-six billion, two hundred fifty-four million, three hundred sixty-nine thousand, eight hundred forty".