2030412800 has 132 divisors (see below), whose sum is σ = 5421004596. Its totient is φ = 749568000.

The previous prime is 2030412749. The next prime is 2030412817. The reversal of 2030412800 is 82140302.

It can be written as a sum of positive squares in 6 ways, for example, as 144769024 + 1885643776 = 12032^2 + 43424^2 .

It is a super-2 number, since 2×2030412800² = 8245152276807680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329750 + ... + 335850.

Almost surely, 2^2030412800 is an apocalyptic number.

2030412800 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 2030412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710502298).

2030412800 is an abundant number, since it is smaller than the sum of its proper divisors (3390591796).

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

2030412800 is a wasteful number, since it uses less digits than its factorization.

2030412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2030412800 is about 45060.1020859918. The cubic root of 2030412800 is about 1266.2752376238.

The spelling of 2030412800 in words is "two billion, thirty million, four hundred twelve thousand, eight hundred".