2116362400 has 36 divisors (see below), whose sum is σ = 5166571662. Its totient is φ = 846544640.

The previous prime is 2116362379. The next prime is 2116362401. The reversal of 2116362400 is 42636112.

It can be written as a sum of positive squares in 3 ways, for example, as 1743563536 + 372798864 = 41756^2 + 19308^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2116362401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1321927 + ... + 1323526.

Almost surely, 2^2116362400 is an apocalyptic number.

2116362400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116362400 is an abundant number, since it is smaller than the sum of its proper divisors (3050209262).

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

2116362400 is a wasteful number, since it uses less digits than its factorization.

2116362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645473 (or 2645460 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2116362400 is about 46003.9389617889. The cubic root of 2116362400 is about 1283.8964924018.

Adding to 2116362400 its reverse (42636112), we get a palindrome (2158998512).

The spelling of 2116362400 in words is "two billion, one hundred sixteen million, three hundred sixty-two thousand, four hundred".