2058739664400 has 480 divisors, whose sum is σ = 7765777958400. Its totient is φ = 516226867200.

The previous prime is 2058739664369. The next prime is 2058739664437. The reversal of 2058739664400 is 44669378502.

2058739664400 is a `hidden beast` number, since 20 + 5 + 8 + 73 + 96 + 64 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226007046 + ... + 226016154.

It is an arithmetic number, because the mean of its divisors is an integer number (16178704080).

Almost surely, 2^{2058739664400} is an apocalyptic number.

2058739664400 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 2058739664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882888979200).

2058739664400 is an abundant number, since it is smaller than the sum of its proper divisors (5707038294000).

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

2058739664400 is a wasteful number, since it uses less digits than its factorization.

2058739664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10384 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2058739664400 in words is "two trillion, fifty-eight billion, seven hundred thirty-nine million, six hundred sixty-four thousand, four hundred".