2453682240 has 224 divisors, whose sum is σ = 8936248320. Its totient is φ = 633139200.

The previous prime is 2453682229. The next prime is 2453682277. The reversal of 2453682240 is 422863542.

2453682240 is a `hidden beast` number, since 2 + 4 + 536 + 82 + 2 + 40 = 666.

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 = 2453682195 and 2453682204.

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, 263260 + ... + 272420.

Almost surely, 2^2453682240 is an apocalyptic number.

2453682240 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 2453682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468124160).

2453682240 is an abundant number, since it is smaller than the sum of its proper divisors (6482566080).

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

2453682240 is a wasteful number, since it uses less digits than its factorization.

2453682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2453682240 is about 49534.6569585376. The cubic root of 2453682240 is about 1348.7747896150.

The spelling of 2453682240 in words is "two billion, four hundred fifty-three million, six hundred eighty-two thousand, two hundred forty".