2061072000 has 512 divisors, whose sum is σ = 8197862400. Its totient is φ = 505958400.

The previous prime is 2061071981. The next prime is 2061072007. The reversal of 2061072000 is 2701602.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2061072007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5615817 + ... + 5616183.

It is an arithmetic number, because the mean of its divisors is an integer number (16011450).

Almost surely, 2^2061072000 is an apocalyptic number.

2061072000 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 2061072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098931200).

2061072000 is an abundant number, since it is smaller than the sum of its proper divisors (6136790400).

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

2061072000 is a wasteful number, since it uses less digits than its factorization.

2061072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2061072000 is about 45399.0308266597. The cubic root of 2061072000 is about 1272.6170021965.

Adding to 2061072000 its reverse (2701602), we get a palindrome (2063773602).

The spelling of 2061072000 in words is "two billion, sixty-one million, seventy-two thousand".