2146342286400 has 336 divisors, whose sum is σ = 7599405273600. Its totient is φ = 527220080640.

The previous prime is 2146342286369. The next prime is 2146342286411. The reversal of 2146342286400 is 46822436412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29853696 + ... + 29925504.

It is an arithmetic number, because the mean of its divisors is an integer number (22617277600).

Almost surely, 2^{2146342286400} is an apocalyptic number.

2146342286400 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 2146342286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799702636800).

2146342286400 is an abundant number, since it is smaller than the sum of its proper divisors (5453062987200).

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

2146342286400 is a wasteful number, since it uses less digits than its factorization.

2146342286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72326 (or 72311 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 2146342286400 in words is "two trillion, one hundred forty-six billion, three hundred forty-two million, two hundred eighty-six thousand, four hundred".