2493858240 has 224 divisors, whose sum is σ = 9082552320. Its totient is φ = 643507200.

The previous prime is 2493858239. The next prime is 2493858247. The reversal of 2493858240 is 428583942.

2493858240 is a `hidden beast` number, since 2 + 493 + 85 + 82 + 4 + 0 = 666.

It is a super-3 number, since 3×2493858240³ (a number of 29 digits) contains 333 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 (2493858247) 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 31 ways as a sum of consecutive naturals, for example, 263185 + ... + 272495.

Almost surely, 2^2493858240 is an apocalyptic number.

2493858240 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 2493858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541276160).

2493858240 is an abundant number, since it is smaller than the sum of its proper divisors (6588694080).

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

2493858240 is a wasteful number, since it uses less digits than its factorization.

2493858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368 (or 9352 counting only the distinct ones).

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

The square root of 2493858240 is about 49938.5446323779. The cubic root of 2493858240 is about 1356.0964768071.

The spelling of 2493858240 in words is "two billion, four hundred ninety-three million, eight hundred fifty-eight thousand, two hundred forty".