2050738560 has 640 divisors, whose sum is σ = 8397496800. Its totient is φ = 472449024.

The previous prime is 2050738559. The next prime is 2050738561. The reversal of 2050738560 is 658370502.

2050738560 is a `hidden beast` number, since 20 + 5 + 0 + 73 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2050738559) and next prime (2050738561).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050738561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11456551 + ... + 11456729.

Almost surely, 2^2050738560 is an apocalyptic number.

2050738560 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 2050738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198748400).

2050738560 is an abundant number, since it is smaller than the sum of its proper divisors (6346758240).

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

2050738560 is a wasteful number, since it uses less digits than its factorization.

2050738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2050738560 is about 45285.0809870094. The cubic root of 2050738560 is about 1270.4866302194.

The spelling of 2050738560 in words is "two billion, fifty million, seven hundred thirty-eight thousand, five hundred sixty".