2130880435200 has 2112 divisors, whose sum is σ = 8947741593600. Its totient is φ = 492444057600.

The previous prime is 2130880435183. The next prime is 2130880435217. The reversal of 2130880435200 is 25340880312.

2130880435200 is a `hidden beast` number, since 2 + 13 + 0 + 8 + 8 + 0 + 435 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (2130880435183) and next prime (2130880435217).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23942476756 + ... + 23942476844.

Almost surely, 2^{2130880435200} is an apocalyptic number.

2130880435200 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 2130880435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473870796800).

2130880435200 is an abundant number, since it is smaller than the sum of its proper divisors (6816861158400).

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

2130880435200 is a wasteful number, since it uses less digits than its factorization.

2130880435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2130880435200 in words is "two trillion, one hundred thirty billion, eight hundred eighty million, four hundred thirty-five thousand, two hundred".