2030120400 has 480 divisors, whose sum is σ = 8218902528. Its totient is φ = 416102400.

The previous prime is 2030120383. The next prime is 2030120413. The reversal of 2030120400 is 40210302.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 11734714 + ... + 11734886.

Almost surely, 2^2030120400 is an apocalyptic number.

2030120400 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 2030120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109451264).

2030120400 is an abundant number, since it is smaller than the sum of its proper divisors (6188782128).

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

2030120400 is a wasteful number, since it uses less digits than its factorization.

2030120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2030120400 is about 45056.8574137167. The cubic root of 2030120400 is about 1266.2144492208.

Adding to 2030120400 its reverse (40210302), we get a palindrome (2070330702).

The spelling of 2030120400 in words is "two billion, thirty million, one hundred twenty thousand, four hundred".