2458239840 has 600 divisors, whose sum is σ = 10248971040. Its totient is φ = 554770944.

The previous prime is 2458239827. The next prime is 2458239841. The reversal of 2458239840 is 489328542.

2458239840 is a `hidden beast` number, since 24 + 582 + 3 + 9 + 8 + 40 = 666.

It is a super-2 number, since 2×2458239840² = 12085886221926451200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2458239841) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 31116921 + ... + 31116999.

Almost surely, 2^2458239840 is an apocalyptic number.

2458239840 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 2458239840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124485520).

2458239840 is an abundant number, since it is smaller than the sum of its proper divisors (7790731200).

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

2458239840 is an frugal number, since it uses more digits than its factorization.

2458239840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2458239840 is about 49580.6397699747. The cubic root of 2458239840 is about 1349.6093684605.

The spelling of 2458239840 in words is "two billion, four hundred fifty-eight million, two hundred thirty-nine thousand, eight hundred forty".