2050695360 has 448 divisors, whose sum is σ = 8479779840. Its totient is φ = 456744960.

The previous prime is 2050695313. The next prime is 2050695373. The reversal of 2050695360 is 635960502.

2050695360 is a `hidden beast` number, since 2 + 0 + 506 + 95 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 2479267 + ... + 2480093.

It is an arithmetic number, because the mean of its divisors is an integer number (18928080).

Almost surely, 2^2050695360 is an apocalyptic number.

2050695360 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 2050695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239889920).

2050695360 is an abundant number, since it is smaller than the sum of its proper divisors (6429084480).

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

2050695360 is a wasteful number, since it uses less digits than its factorization.

2050695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2050695360 is about 45284.6040062183. The cubic root of 2050695360 is about 1270.4777089769.

The spelling of 2050695360 in words is "two billion, fifty million, six hundred ninety-five thousand, three hundred sixty".