2160509190400 has 432 divisors, whose sum is σ = 5927220633600. Its totient is φ = 773121024000.

The previous prime is 2160509190377. The next prime is 2160509190407. The reversal of 2160509190400 is 40919050612.

It is a self number, because there is not a number n which added to its sum of digits gives 2160509190400.

It is not an unprimeable number, because it can be changed into a prime (2160509190407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2664005995 + ... + 2664006805.

Almost surely, 2^{2160509190400} is an apocalyptic number.

2160509190400 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 2160509190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963610316800).

2160509190400 is an abundant number, since it is smaller than the sum of its proper divisors (3766711443200).

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

2160509190400 is a wasteful number, since it uses less digits than its factorization.

2160509190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 2160509190400 in words is "two trillion, one hundred sixty billion, five hundred nine million, one hundred ninety thousand, four hundred".