2050385400 has 672 divisors, whose sum is σ = 8538516000. Its totient is φ = 457228800.

The previous prime is 2050385371. The next prime is 2050385411. The reversal of 2050385400 is 45830502.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 50009380 + ... + 50009420.

It is an arithmetic number, because the mean of its divisors is an integer number (12706125).

Almost surely, 2^2050385400 is an apocalyptic number.

2050385400 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 2050385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269258000).

2050385400 is an abundant number, since it is smaller than the sum of its proper divisors (6488130600).

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

2050385400 is an equidigital number, since it uses as much as digits as its factorization.

2050385400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2050385400 is about 45281.1815216874. The cubic root of 2050385400 is about 1270.4136953874.

The spelling of 2050385400 in words is "two billion, fifty million, three hundred eighty-five thousand, four hundred".