2116200400 has 60 divisors (see below), whose sum is σ = 5091762400. Its totient is φ = 845216640.

The previous prime is 2116200397. The next prime is 2116200407. The reversal of 2116200400 is 40026112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116200407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292021 + ... + 299179.

Almost surely, 2^2116200400 is an apocalyptic number.

2116200400 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 2116200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545881200).

2116200400 is an abundant number, since it is smaller than the sum of its proper divisors (2975562000).

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

2116200400 is a wasteful number, since it uses less digits than its factorization.

2116200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7916 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2116200400 is about 46002.1782092979. The cubic root of 2116200400 is about 1283.8637323321.

Adding to 2116200400 its reverse (40026112), we get a palindrome (2156226512).

The spelling of 2116200400 in words is "two billion, one hundred sixteen million, two hundred thousand, four hundred".