2405744640 has 360 divisors, whose sum is σ = 9016954128. Its totient is φ = 589824000.

The previous prime is 2405744633. The next prime is 2405744651. The reversal of 2405744640 is 464475042.

2405744640 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 7 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 2405744595 and 2405744604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9584515 + ... + 9584765.

Almost surely, 2^2405744640 is an apocalyptic number.

2405744640 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 2405744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508477064).

2405744640 is an abundant number, since it is smaller than the sum of its proper divisors (6611209488).

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

2405744640 is a wasteful number, since it uses less digits than its factorization.

2405744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2405744640 is about 49048.3907992913. The cubic root of 2405744640 is about 1339.9332854585.

The spelling of 2405744640 in words is "two billion, four hundred five million, seven hundred forty-four thousand, six hundred forty".