2130146035200 has 600 divisors, whose sum is σ = 7894958961120. Its totient is φ = 567237427200.

The previous prime is 2130146035159. The next prime is 2130146035301. The reversal of 2130146035200 is 25306410312.

2130146035200 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 4 + 603 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 59 ways as a sum of consecutive naturals, for example, 1276299966 + ... + 1276301634.

Almost surely, 2^{2130146035200} is an apocalyptic number.

2130146035200 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 2130146035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947479480560).

2130146035200 is an abundant number, since it is smaller than the sum of its proper divisors (5764812925920).

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

2130146035200 is a wasteful number, since it uses less digits than its factorization.

2130146035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 2130146035200 in words is "two trillion, one hundred thirty billion, one hundred forty-six million, thirty-five thousand, two hundred".