2033979648 has 72 divisors (see below), whose sum is σ = 5420688000. Its totient is φ = 677074944.

The previous prime is 2033979643. The next prime is 2033979653. The reversal of 2033979648 is 8469793302.

It is an interprime number because it is at equal distance from previous prime (2033979643) and next prime (2033979653).

It is a self number, because there is not a number n which added to its sum of digits gives 2033979648.

It is not an unprimeable number, because it can be changed into a prime (2033979643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796678 + ... + 799226.

Almost surely, 2^2033979648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710344000).

2033979648 is an abundant number, since it is smaller than the sum of its proper divisors (3386708352).

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

2033979648 is a wasteful number, since it uses less digits than its factorization.

2033979648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 2033979648 is about 45099.6635020706. The cubic root of 2033979648 is about 1267.0162969597.

The spelling of 2033979648 in words is "two billion, thirty-three million, nine hundred seventy-nine thousand, six hundred forty-eight".