2114578400 has 144 divisors (see below), whose sum is σ = 5928370560. Its totient is φ = 728409600.

The previous prime is 2114578397. The next prime is 2114578409. The reversal of 2114578400 is 48754112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114578409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160877 + ... + 173523.

It is an arithmetic number, because the mean of its divisors is an integer number (41169240).

Almost surely, 2^2114578400 is an apocalyptic number.

2114578400 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 2114578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964185280).

2114578400 is an abundant number, since it is smaller than the sum of its proper divisors (3813792160).

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

2114578400 is a wasteful number, since it uses less digits than its factorization.

2114578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12697 (or 12684 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 2114578400 is about 45984.5452298922. The cubic root of 2114578400 is about 1283.5356349808.

The spelling of 2114578400 in words is "two billion, one hundred fourteen million, five hundred seventy-eight thousand, four hundred".