2058562560 has 176 divisors, whose sum is σ = 6871631616. Its totient is φ = 524992512.

The previous prime is 2058562553. The next prime is 2058562567. The reversal of 2058562560 is 652658502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2058562553) and next prime (2058562567).

It is not an unprimeable number, because it can be changed into a prime (2058562567) 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 15 ways as a sum of consecutive naturals, for example, 350367 + ... + 356193.

Almost surely, 2^2058562560 is an apocalyptic number.

2058562560 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 2058562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435815808).

2058562560 is an abundant number, since it is smaller than the sum of its proper divisors (4813069056).

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

2058562560 is a wasteful number, since it uses less digits than its factorization.

2058562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 2058562560 is about 45371.3848146604. The cubic root of 2058562560 is about 1272.1003045778.

The spelling of 2058562560 in words is "two billion, fifty-eight million, five hundred sixty-two thousand, five hundred sixty".