2114826084000 has 3024 divisors, whose sum is σ = 9797932236456. Its totient is φ = 446777856000.

The previous prime is 2114826083977. The next prime is 2114826084053. The reversal of 2114826084000 is 4806284112.

2114826084000 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 8 + 2 + 608 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173518901136 + 1941307182864 = 416556^2 + 1393308^2 .

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 51581123980 + ... + 51581124020.

Almost surely, 2^{2114826084000} is an apocalyptic number.

2114826084000 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 2114826084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898966118228).

2114826084000 is an abundant number, since it is smaller than the sum of its proper divisors (7683106152456).

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

2114826084000 is an equidigital number, since it uses as much as digits as its factorization.

2114826084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 2114826084000 in words is "two trillion, one hundred fourteen billion, eight hundred twenty-six million, eighty-four thousand".