2458540128 has 96 divisors (see below), whose sum is σ = 7068539520. Its totient is φ = 742031360.

The previous prime is 2458540111. The next prime is 2458540129. The reversal of 2458540128 is 8210458542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2458540129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266863 + ... + 275921.

It is an arithmetic number, because the mean of its divisors is an integer number (73630620).

Almost surely, 2^2458540128 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 2458540128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534269760).

2458540128 is an abundant number, since it is smaller than the sum of its proper divisors (4609999392).

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

2458540128 is a wasteful number, since it uses less digits than its factorization.

2458540128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 2458540128 is about 49583.6679562938. The cubic root of 2458540128 is about 1349.6643203805.

The spelling of 2458540128 in words is "two billion, four hundred fifty-eight million, five hundred forty thousand, one hundred twenty-eight".