2058223440 has 240 divisors, whose sum is σ = 7993738368. Its totient is φ = 434230272.

The previous prime is 2058223421. The next prime is 2058223481. The reversal of 2058223440 is 443228502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2058223398 and 2058223407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146149 + ... + 159611.

Almost surely, 2^2058223440 is an apocalyptic number.

2058223440 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 2058223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996869184).

2058223440 is an abundant number, since it is smaller than the sum of its proper divisors (5935514928).

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

2058223440 is a wasteful number, since it uses less digits than its factorization.

2058223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13506 (or 13493 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2058223440 is about 45367.6475034798. The cubic root of 2058223440 is about 1272.0304470383.

The spelling of 2058223440 in words is "two billion, fifty-eight million, two hundred twenty-three thousand, four hundred forty".