2052080640 has 132 divisors (see below), whose sum is σ = 7110565644. Its totient is φ = 547209216.

The previous prime is 2052080633. The next prime is 2052080647. The reversal of 2052080640 is 460802502.

2052080640 is a `hidden beast` number, since 2 + 0 + 520 + 80 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2052080633) and next prime (2052080647).

It can be written as a sum of positive squares in 2 ways, for example, as 961496064 + 1090584576 = 31008^2 + 33024^2 .

It is a super-2 number, since 2×2052080640² = 8422069906125619200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2052080647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23814 + ... + 68346.

Almost surely, 2^2052080640 is an apocalyptic number.

2052080640 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 2052080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555282822).

2052080640 is an abundant number, since it is smaller than the sum of its proper divisors (5058485004).

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

2052080640 is a wasteful number, since it uses less digits than its factorization.

2052080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44564 (or 44543 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2052080640 is about 45299.8966886239. The cubic root of 2052080640 is about 1270.7637211020.

The spelling of 2052080640 in words is "two billion, fifty-two million, eighty thousand, six hundred forty".