2145378400 has 216 divisors, whose sum is σ = 5922277200. Its totient is φ = 757785600.

The previous prime is 2145378373. The next prime is 2145378401. The reversal of 2145378400 is 48735412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145378401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3581301 + ... + 3581899.

It is an arithmetic number, because the mean of its divisors is an integer number (27417950).

Almost surely, 2^2145378400 is an apocalyptic number.

2145378400 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 2145378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961138600).

2145378400 is an abundant number, since it is smaller than the sum of its proper divisors (3776898800).

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

2145378400 is a wasteful number, since it uses less digits than its factorization.

2145378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2145378400 is about 46318.2296725598. The cubic root of 2145378400 is about 1289.7374222689.

The spelling of 2145378400 in words is "two billion, one hundred forty-five million, three hundred seventy-eight thousand, four hundred".