2058007023072 has 1728 divisors, whose sum is σ = 8395626081024. Its totient is φ = 487432028160.

The previous prime is 2058007023031. The next prime is 2058007023077. The reversal of 2058007023072 is 2703207008502.

It is a happy number.

2058007023072 is a `hidden beast` number, since 2 + 0 + 580 + 0 + 7 + 0 + 2 + 3 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058007023077) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5830048048 + ... + 5830048400.

It is an arithmetic number, because the mean of its divisors is an integer number (4858579908).

Almost surely, 2^{2058007023072} is an apocalyptic number.

2058007023072 is a gapful number since it is divisible by the number (22) 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 2058007023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197813040512).

2058007023072 is an abundant number, since it is smaller than the sum of its proper divisors (6337619057952).

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

2058007023072 is a wasteful number, since it uses less digits than its factorization.

2058007023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 2058007023072 in words is "two trillion, fifty-eight billion, seven million, twenty-three thousand, seventy-two".