2058038461440 has 2112 divisors, whose sum is σ = 8657320439040. Its totient is φ = 464380231680.

The previous prime is 2058038461433. The next prime is 2058038461447. The reversal of 2058038461440 is 441648308502.

2058038461440 is a `hidden beast` number, since 2 + 0 + 580 + 3 + 8 + 4 + 61 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2058038461433) and next prime (2058038461447).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2058038461447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11370378150 + ... + 11370378330.

Almost surely, 2^{2058038461440} is an apocalyptic number.

2058038461440 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 2058038461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328660219520).

2058038461440 is an abundant number, since it is smaller than the sum of its proper divisors (6599281977600).

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

2058038461440 is a wasteful number, since it uses less digits than its factorization.

2058038461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2058038461440 in words is "two trillion, fifty-eight billion, thirty-eight million, four hundred sixty-one thousand, four hundred forty".