2045352400 has 240 divisors, whose sum is σ = 6129857664. Its totient is φ = 638576640.

The previous prime is 2045352389. The next prime is 2045352427. The reversal of 2045352400 is 42535402.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3020862 + ... + 3021538.

Almost surely, 2^2045352400 is an apocalyptic number.

2045352400 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 2045352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064928832).

2045352400 is an abundant number, since it is smaller than the sum of its proper divisors (4084505264).

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

2045352400 is a wasteful number, since it uses less digits than its factorization.

2045352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2045352400 is about 45225.5724120768. The cubic root of 2045352400 is about 1269.3733656087.

Adding to 2045352400 its reverse (42535402), we get a palindrome (2087887802).

The spelling of 2045352400 in words is "two billion, forty-five million, three hundred fifty-two thousand, four hundred".