2030162400 has 576 divisors, whose sum is σ = 8699443200. Its totient is φ = 447068160.

The previous prime is 2030162359. The next prime is 2030162419. The reversal of 2030162400 is 42610302.

It is a happy number.

2030162400 is a `hidden beast` number, since 203 + 0 + 1 + 62 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4384569 + ... + 4385031.

It is an arithmetic number, because the mean of its divisors is an integer number (15103200).

Almost surely, 2^2030162400 is an apocalyptic number.

2030162400 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 2030162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349721600).

2030162400 is an abundant number, since it is smaller than the sum of its proper divisors (6669280800).

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

2030162400 is a wasteful number, since it uses less digits than its factorization.

2030162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2030162400 is about 45057.3234890844. The cubic root of 2030162400 is about 1266.2231811561.

Adding to 2030162400 its reverse (42610302), we get a palindrome (2072772702).

The spelling of 2030162400 in words is "two billion, thirty million, one hundred sixty-two thousand, four hundred".