2114160400 has 225 divisors, whose sum is σ = 5896700805. Its totient is φ = 728323200.

The previous prime is 2114160371. The next prime is 2114160431. The reversal of 2114160400 is 40614112.

The square root of 2114160400 is 45980.

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

It can be written as a sum of positive squares in only one way, i.e., 761097744 + 1353062656 = 27588^2 + 36784^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 111271591 + ... + 111271609.

Almost surely, 2^2114160400 is an apocalyptic number.

2114160400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2114160400 is the 45980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114160400

2114160400 is an abundant number, since it is smaller than the sum of its proper divisors (3782540405).

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

2114160400 is an equidigital number, since it uses as much as digits as its factorization.

2114160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The cubic root of 2114160400 is about 1283.4510549606.

Adding to 2114160400 its reverse (40614112), we get a palindrome (2154774512).

The spelling of 2114160400 in words is "two billion, one hundred fourteen million, one hundred sixty thousand, four hundred".