2114256000000 has 616 divisors, whose sum is σ = 7461219495168. Its totient is φ = 530432000000.

The previous prime is 2114255999987. The next prime is 2114256000071. The reversal of 2114256000000 is 6524112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 815998705 + ... + 816001295.

Almost surely, 2^{2114256000000} is an apocalyptic number.

2114256000000 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 2114256000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730609747584).

2114256000000 is an abundant number, since it is smaller than the sum of its proper divisors (5346963495168).

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

2114256000000 is an frugal number, since it uses more digits than its factorization.

2114256000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 2114256000000 in words is "two trillion, one hundred fourteen billion, two hundred fifty-six million", and thus it is an aban number.