2036146000 has 240 divisors, whose sum is σ = 5821770240. Its totient is φ = 686649600.

The previous prime is 2036145989. The next prime is 2036146009. The reversal of 2036146000 is 6416302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2036146009) 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 47 ways as a sum of consecutive naturals, for example, 7741869 + ... + 7742131.

It is an arithmetic number, because the mean of its divisors is an integer number (24257376).

Almost surely, 2^2036146000 is an apocalyptic number.

2036146000 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 2036146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910885120).

2036146000 is an abundant number, since it is smaller than the sum of its proper divisors (3785624240).

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

2036146000 is a wasteful number, since it uses less digits than its factorization.

2036146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2036146000 is about 45123.6744957677. The cubic root of 2036146000 is about 1267.4659621254.

The spelling of 2036146000 in words is "two billion, thirty-six million, one hundred forty-six thousand".