2130206515200 has 2016 divisors, whose sum is σ = 8781246059520. Its totient is φ = 505361203200.

The previous prime is 2130206515193. The next prime is 2130206515211. The reversal of 2130206515200 is 25156020312.

It is a happy number.

2130206515200 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 0 + 651 + 5 + 2 + 0 + 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 143 ways as a sum of consecutive naturals, for example, 49539686379 + ... + 49539686421.

Almost surely, 2^{2130206515200} is an apocalyptic number.

2130206515200 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 2130206515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390623029760).

2130206515200 is an abundant number, since it is smaller than the sum of its proper divisors (6651039544320).

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

2130206515200 is a wasteful number, since it uses less digits than its factorization.

2130206515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 2130206515200 in words is "two trillion, one hundred thirty billion, two hundred six million, five hundred fifteen thousand, two hundred".