2160208380400 has 240 divisors, whose sum is σ = 6282403882560. Its totient is φ = 696832819200.

The previous prime is 2160208380371. The next prime is 2160208380413. The reversal of 2160208380400 is 40838020612.

It is a super-2 number, since 2×2160208380400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179398380 + ... + 179410420.

It is an arithmetic number, because the mean of its divisors is an integer number (26176682844).

Almost surely, 2^{2160208380400} is an apocalyptic number.

2160208380400 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 2160208380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141201941280).

2160208380400 is an abundant number, since it is smaller than the sum of its proper divisors (4122195502160).

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

2160208380400 is a wasteful number, since it uses less digits than its factorization.

2160208380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15852 (or 15841 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 2160208380400 in words is "two trillion, one hundred sixty billion, two hundred eight million, three hundred eighty thousand, four hundred".