2452818240 has 224 divisors, whose sum is σ = 8690213760. Its totient is φ = 651276288.

The previous prime is 2452818163. The next prime is 2452818253. The reversal of 2452818240 is 428182542.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2452818195 and 2452818204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2703867 + ... + 2704773.

Almost surely, 2^2452818240 is an apocalyptic number.

2452818240 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 2452818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345106880).

2452818240 is an abundant number, since it is smaller than the sum of its proper divisors (6237395520).

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

2452818240 is a wasteful number, since it uses less digits than its factorization.

2452818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2452818240 is about 49525.9350239852. The cubic root of 2452818240 is about 1348.6164591125.

The spelling of 2452818240 in words is "two billion, four hundred fifty-two million, eight hundred eighteen thousand, two hundred forty".