2234125040000 has 640 divisors, whose sum is σ = 6795041140800. Its totient is φ = 713981952000.

The previous prime is 2234125039981. The next prime is 2234125040039. The reversal of 2234125040000 is 405214322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1037678924 + ... + 1037681076.

Almost surely, 2^{2234125040000} is an apocalyptic number.

2234125040000 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 2234125040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397520570400).

2234125040000 is an abundant number, since it is smaller than the sum of its proper divisors (4560916100800).

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

2234125040000 is a wasteful number, since it uses less digits than its factorization.

2234125040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The spelling of 2234125040000 in words is "two trillion, two hundred thirty-four billion, one hundred twenty-five million, forty thousand".