2045132400 has 120 divisors (see below), whose sum is σ = 6836169600. Its totient is φ = 521649920.

The previous prime is 2045132389. The next prime is 2045132473. The reversal of 2045132400 is 42315402.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9450 + ... + 64649.

It is an arithmetic number, because the mean of its divisors is an integer number (56968080).

Almost surely, 2^2045132400 is an apocalyptic number.

2045132400 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 2045132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418084800).

2045132400 is an abundant number, since it is smaller than the sum of its proper divisors (4791037200).

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

2045132400 is a wasteful number, since it uses less digits than its factorization.

2045132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74143 (or 74132 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2045132400 is about 45223.1400944251. The cubic root of 2045132400 is about 1269.3278523183.

Adding to 2045132400 its reverse (42315402), we get a palindrome (2087447802).

The spelling of 2045132400 in words is "two billion, forty-five million, one hundred thirty-two thousand, four hundred".