2160841200400 has 135 divisors (see below), whose sum is σ = 5274869801439. Its totient is φ = 850659786240.

The previous prime is 2160841200347. The next prime is 2160841200409. The reversal of 2160841200400 is 40021480612.

The square root of 2160841200400 is 1469980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 275075074576 + 1885766125824 = 524476^2 + 1373232^2 .

It is a super-2 number, since 2×2160841200400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2160841200409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1969772652 + ... + 1969773748.

Almost surely, 2^{2160841200400} is an apocalyptic number.

2160841200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2160841200400 is the 1469980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2160841200400

2160841200400 is an abundant number, since it is smaller than the sum of its proper divisors (3114028601039).

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

2160841200400 is an frugal number, since it uses more digits than its factorization.

2160841200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 2160841200400 in words is "two trillion, one hundred sixty billion, eight hundred forty-one million, two hundred thousand, four hundred".