2050064640 has 504 divisors, whose sum is σ = 7975708440. Its totient is φ = 504631296.

The previous prime is 2050064633. The next prime is 2050064669. The reversal of 2050064640 is 464600502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 764411904 + 1285652736 = 27648^2 + 35856^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 157697274 + ... + 157697286.

Almost surely, 2^2050064640 is an apocalyptic number.

2050064640 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 2050064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987854220).

2050064640 is an abundant number, since it is smaller than the sum of its proper divisors (5925643800).

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

2050064640 is an frugal number, since it uses more digits than its factorization.

2050064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2050064640 is about 45277.6395144447. The cubic root of 2050064640 is about 1270.3474445664.

The spelling of 2050064640 in words is "two billion, fifty million, sixty-four thousand, six hundred forty".