2145104235000 has 640 divisors, whose sum is σ = 7645302720000. Its totient is φ = 556803072000.

The previous prime is 2145104234993. The next prime is 2145104235061. The reversal of 2145104235000 is 5324015412.

2145104235000 is a `hidden beast` number, since 2 + 145 + 10 + 4 + 2 + 3 + 500 + 0 = 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 159 ways as a sum of consecutive naturals, for example, 2606444589 + ... + 2606445411.

It is an arithmetic number, because the mean of its divisors is an integer number (11945785500).

Almost surely, 2^{2145104235000} is an apocalyptic number.

2145104235000 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 2145104235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822651360000).

2145104235000 is an abundant number, since it is smaller than the sum of its proper divisors (5500198485000).

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

2145104235000 is a wasteful number, since it uses less digits than its factorization.

2145104235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 2145104235000 in words is "two trillion, one hundred forty-five billion, one hundred four million, two hundred thirty-five thousand".