2072077504 has 84 divisors (see below), whose sum is σ = 5064578136. Its totient is φ = 835774464.

The previous prime is 2072077477. The next prime is 2072077523. The reversal of 2072077504 is 4057702702.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 2072077504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33879 + ... + 72745.

Almost surely, 2^2072077504 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 2072077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532289068).

2072077504 is an abundant number, since it is smaller than the sum of its proper divisors (2992500632).

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

2072077504 is a wasteful number, since it uses less digits than its factorization.

2072077504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38910 (or 38893 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 34.

The square root of 2072077504 is about 45520.0780315676. The cubic root of 2072077504 is about 1274.8781129670.

The spelling of 2072077504 in words is "two billion, seventy-two million, seventy-seven thousand, five hundred four".