2454384640 has 208 divisors, whose sum is σ = 6274961280. Its totient is φ = 920125440.

The previous prime is 2454384557. The next prime is 2454384649. The reversal of 2454384640 is 464834542.

It is a super-2 number, since 2×2454384640² = 12048007922135859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2454384593 and 2454384602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2454384649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31068121 + ... + 31068199.

Almost surely, 2^2454384640 is an apocalyptic number.

2454384640 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 2454384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137480640).

2454384640 is an abundant number, since it is smaller than the sum of its proper divisors (3820576640).

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

2454384640 is an equidigital number, since it uses as much as digits as its factorization.

2454384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The square root of 2454384640 is about 49541.7464367174. The cubic root of 2454384640 is about 1348.9034790613.

The spelling of 2454384640 in words is "two billion, four hundred fifty-four million, three hundred eighty-four thousand, six hundred forty".