2050077640 has 128 divisors (see below), whose sum is σ = 5067619200. Its totient is φ = 741888000.

The previous prime is 2050077629. The next prime is 2050077641. The reversal of 2050077640 is 467700502.

2050077640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2050077641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8167515 + ... + 8167765.

It is an arithmetic number, because the mean of its divisors is an integer number (39590775).

Almost surely, 2^2050077640 is an apocalyptic number.

2050077640 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 2050077640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533809600).

2050077640 is an abundant number, since it is smaller than the sum of its proper divisors (3017541560).

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

2050077640 is a wasteful number, since it uses less digits than its factorization.

2050077640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 2050077640 is about 45277.7830729377. The cubic root of 2050077640 is about 1270.3501297634.

The spelling of 2050077640 in words is "two billion, fifty million, seventy-seven thousand, six hundred forty".