2031206400 has 540 divisors, whose sum is σ = 7923060600. Its totient is φ = 495452160.

The previous prime is 2031206369. The next prime is 2031206417. The reversal of 2031206400 is 46021302.

It is a happy number.

2031206400 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 20 + 640 + 0 = 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70041586 + ... + 70041614.

Almost surely, 2^2031206400 is an apocalyptic number.

2031206400 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 2031206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961530300).

2031206400 is an abundant number, since it is smaller than the sum of its proper divisors (5891854200).

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

2031206400 is a wasteful number, since it uses less digits than its factorization.

2031206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

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

The square root of 2031206400 is about 45068.9072421331. The cubic root of 2031206400 is about 1266.4401934283.

Adding to 2031206400 its reverse (46021302), we get a palindrome (2077227702).

The spelling of 2031206400 in words is "two billion, thirty-one million, two hundred six thousand, four hundred".