2302140204000 has 2304 divisors, whose sum is σ = 11048818120704. Its totient is φ = 456855552000.

The previous prime is 2302140203971. The next prime is 2302140204103. The reversal of 2302140204000 is 4020412032.

2302140204000 is a `hidden beast` number, since 2 + 30 + 214 + 0 + 20 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 383 ways as a sum of consecutive naturals, for example, 1503683235 + ... + 1503684765.

It is an arithmetic number, because the mean of its divisors is an integer number (4795493976).

Almost surely, 2^{2302140204000} is an apocalyptic number.

2302140204000 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 2302140204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524409060352).

2302140204000 is an abundant number, since it is smaller than the sum of its proper divisors (8746677916704).

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

2302140204000 is a wasteful number, since it uses less digits than its factorization.

2302140204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2302140204000 its reverse (4020412032), we get a palindrome (2306160616032).

The spelling of 2302140204000 in words is "two trillion, three hundred two billion, one hundred forty million, two hundred four thousand".