2114025230304 has 576 divisors, whose sum is σ = 7350137121600. Its totient is φ = 585560752128.

The previous prime is 2114025230299. The next prime is 2114025230323. The reversal of 2114025230304 is 4030325204112.

2114025230304 is a `hidden beast` number, since 21 + 1 + 402 + 5 + 230 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100998912 + ... + 101019840.

It is an arithmetic number, because the mean of its divisors is an integer number (12760654725).

Almost surely, 2^{2114025230304} is an apocalyptic number.

2114025230304 is a gapful number since it is divisible by the number (24) 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 2114025230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675068560800).

2114025230304 is an abundant number, since it is smaller than the sum of its proper divisors (5236111891296).

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

2114025230304 is a wasteful number, since it uses less digits than its factorization.

2114025230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21024 (or 20987 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 2114025230304 in words is "two trillion, one hundred fourteen billion, twenty-five million, two hundred thirty thousand, three hundred four".