2458046491904 has 144 divisors (see below), whose sum is σ = 5215781088000. Its totient is φ = 1152135954432.

The previous prime is 2458046491903. The next prime is 2458046491907. The reversal of 2458046491904 is 4091946408542.

It is a happy number.

2458046491904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2458046491904² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2458046491904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2458046491903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1757001797 + ... + 1757003195.

It is an arithmetic number, because the mean of its divisors is an integer number (36220702000).

Almost surely, 2^{2458046491904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2458046491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607890544000).

2458046491904 is an abundant number, since it is smaller than the sum of its proper divisors (2757734596096).

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

2458046491904 is a wasteful number, since it uses less digits than its factorization.

2458046491904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 2458046491904 in words is "two trillion, four hundred fifty-eight billion, forty-six million, four hundred ninety-one thousand, nine hundred four".