2116161400 has 48 divisors (see below), whose sum is σ = 4933947600. Its totient is φ = 844078080.

The previous prime is 2116161379. The next prime is 2116161427. The reversal of 2116161400 is 41616112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57064 + ... + 86536.

It is an arithmetic number, because the mean of its divisors is an integer number (102790575).

Almost surely, 2^2116161400 is an apocalyptic number.

2116161400 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 2116161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466973800).

2116161400 is an abundant number, since it is smaller than the sum of its proper divisors (2817786200).

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

2116161400 is a wasteful number, since it uses less digits than its factorization.

2116161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29848 (or 29839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2116161400 is about 46001.7543143737. The cubic root of 2116161400 is about 1283.8558453990.

Adding to 2116161400 its reverse (41616112), we get a palindrome (2157777512).

The spelling of 2116161400 in words is "two billion, one hundred sixteen million, one hundred sixty-one thousand, four hundred".