2050844040 has 576 divisors, whose sum is σ = 8482968000. Its totient is φ = 426746880.

The previous prime is 2050844027. The next prime is 2050844053. The reversal of 2050844040 is 404480502.

It is an interprime number because it is at equal distance from previous prime (2050844027) and next prime (2050844053).

It is a super-2 number, since 2×2050844040² = 8411922552807043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2050843995 and 2050844013.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9719535 + ... + 9719745.

It is an arithmetic number, because the mean of its divisors is an integer number (14727375).

Almost surely, 2^2050844040 is an apocalyptic number.

2050844040 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 2050844040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241484000).

2050844040 is an abundant number, since it is smaller than the sum of its proper divisors (6432123960).

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

2050844040 is a wasteful number, since it uses less digits than its factorization.

2050844040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2050844040 is about 45286.2455939991. The cubic root of 2050844040 is about 1270.5084123934.

The spelling of 2050844040 in words is "two billion, fifty million, eight hundred forty-four thousand, forty".