2050914600 has 576 divisors, whose sum is σ = 8600342400. Its totient is φ = 447068160.

The previous prime is 2050914599. The next prime is 2050914617. The reversal of 2050914600 is 64190502.

2050914600 is a `hidden beast` number, since 2 + 0 + 50 + 9 + 1 + 4 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6085632 + ... + 6085968.

It is an arithmetic number, because the mean of its divisors is an integer number (14931150).

Almost surely, 2^2050914600 is an apocalyptic number.

2050914600 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 2050914600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300171200).

2050914600 is an abundant number, since it is smaller than the sum of its proper divisors (6549427800).

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

2050914600 is a wasteful number, since it uses less digits than its factorization.

2050914600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2050914600 is about 45287.0246317861. The cubic root of 2050914600 is about 1270.5229829870.

The spelling of 2050914600 in words is "two billion, fifty million, nine hundred fourteen thousand, six hundred".