2072613824 has 56 divisors (see below), whose sum is σ = 4184294400. Its totient is φ = 1018402560.

The previous prime is 2072613811. The next prime is 2072613827. The reversal of 2072613824 is 4283162702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072613827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1994297 + ... + 1995335.

Almost surely, 2^2072613824 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 2072613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092147200).

2072613824 is an abundant number, since it is smaller than the sum of its proper divisors (2111680576).

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

2072613824 is a wasteful number, since it uses less digits than its factorization.

2072613824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 2072613824 is about 45525.9686772286. The cubic root of 2072613824 is about 1274.9880965696.

The spelling of 2072613824 in words is "two billion, seventy-two million, six hundred thirteen thousand, eight hundred twenty-four".