2058710400 has 144 divisors (see below), whose sum is σ = 7346053260. Its totient is φ = 548981760.

The previous prime is 2058710393. The next prime is 2058710419. The reversal of 2058710400 is 40178502.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2058710400² = 8476577022136320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6942 + ... + 64541.

Almost surely, 2^2058710400 is an apocalyptic number.

2058710400 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 2058710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673026630).

2058710400 is an abundant number, since it is smaller than the sum of its proper divisors (5287342860).

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

2058710400 is a wasteful number, since it uses less digits than its factorization.

2058710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71513 (or 71493 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2058710400 is about 45373.0140061248. The cubic root of 2058710400 is about 1272.1307567018.

Adding to 2058710400 its reverse (40178502), we get a palindrome (2098888902).

The spelling of 2058710400 in words is "two billion, fifty-eight million, seven hundred ten thousand, four hundred".