2032144400 has 120 divisors (see below), whose sum is σ = 5735924544. Its totient is φ = 682099200.

The previous prime is 2032144393. The next prime is 2032144403. The reversal of 2032144400 is 44412302.

It is a super-2 number, since 2×2032144400² = 8259221724902720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2032144403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39437 + ... + 74963.

Almost surely, 2^2032144400 is an apocalyptic number.

2032144400 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 2032144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867962272).

2032144400 is an abundant number, since it is smaller than the sum of its proper divisors (3703780144).

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

2032144400 is a wasteful number, since it uses less digits than its factorization.

2032144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35569 (or 35558 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2032144400 is about 45079.3123283841. The cubic root of 2032144400 is about 1266.6351084781.

Adding to 2032144400 its reverse (44412302), we get a palindrome (2076556702).

The spelling of 2032144400 in words is "two billion, thirty-two million, one hundred forty-four thousand, four hundred".