2000067400 has 48 divisors (see below), whose sum is σ = 4660416000. Its totient is φ = 798262080.

The previous prime is 2000067313. The next prime is 2000067409. The reversal of 2000067400 is 47600002.

It is not an unprimeable number, because it can be changed into a prime (2000067409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81801 + ... + 103399.

It is an arithmetic number, because the mean of its divisors is an integer number (97092000).

Almost surely, 2^2000067400 is an apocalyptic number.

2000067400 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 2000067400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330208000).

2000067400 is an abundant number, since it is smaller than the sum of its proper divisors (2660348600).

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

2000067400 is a wasteful number, since it uses less digits than its factorization.

2000067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22078 (or 22069 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 2000067400 is about 44722.1130985556. The cubic root of 2000067400 is about 1259.9352028490.

Adding to 2000067400 its reverse (47600002), we get a palindrome (2047667402).

The spelling of 2000067400 in words is "two billion, sixty-seven thousand, four hundred".