2012653000 has 64 divisors (see below), whose sum is σ = 4758390000. Its totient is φ = 796723200.

The previous prime is 2012652991. The next prime is 2012653003. The reversal of 2012653000 is 3562102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47858724 + 1964794276 = 6918^2 + 44326^2 .

It is not an unprimeable number, because it can be changed into a prime (2012653003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86626 + ... + 107374.

Almost surely, 2^2012653000 is an apocalyptic number.

2012653000 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 2012653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379195000).

2012653000 is an abundant number, since it is smaller than the sum of its proper divisors (2745737000).

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

2012653000 is a wasteful number, since it uses less digits than its factorization.

2012653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20867 (or 20853 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2012653000 is about 44862.6013512369. The cubic root of 2012653000 is about 1262.5724299197.

The spelling of 2012653000 in words is "two billion, twelve million, six hundred fifty-three thousand".