2050688640 has 768 divisors, whose sum is σ = 8934024960. Its totient is φ = 389283840.

The previous prime is 2050688623. The next prime is 2050688641. The reversal of 2050688640 is 468860502.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2050688641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21141072 + ... + 21141168.

It is an arithmetic number, because the mean of its divisors is an integer number (11632845).

Almost surely, 2^2050688640 is an apocalyptic number.

2050688640 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 2050688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467012480).

2050688640 is an abundant number, since it is smaller than the sum of its proper divisors (6883336320).

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

2050688640 is a wasteful number, since it uses less digits than its factorization.

2050688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2050688640 is about 45284.5298087548. The cubic root of 2050688640 is about 1270.4763212168.

The spelling of 2050688640 in words is "two billion, fifty million, six hundred eighty-eight thousand, six hundred forty".