2053022400 has 504 divisors, whose sum is σ = 8581211184. Its totient is φ = 458956800.

The previous prime is 2053022393. The next prime is 2053022407. The reversal of 2053022400 is 42203502.

It is an interprime number because it is at equal distance from previous prime (2053022393) and next prime (2053022407).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2053022407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2058702 + ... + 2059698.

Almost surely, 2^2053022400 is an apocalyptic number.

2053022400 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 2053022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290605592).

2053022400 is an abundant number, since it is smaller than the sum of its proper divisors (6528188784).

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

2053022400 is a wasteful number, since it uses less digits than its factorization.

2053022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2053022400 is about 45310.2902219794. The cubic root of 2053022400 is about 1270.9580882872.

Adding to 2053022400 its reverse (42203502), we get a palindrome (2095225902).

It can be divided in two parts, 205302 and 2400, that added together give a palindrome (207702).

The spelling of 2053022400 in words is "two billion, fifty-three million, twenty-two thousand, four hundred".