2409470640 has 120 divisors (see below), whose sum is σ = 8107012368. Its totient is φ = 641318400.

The previous prime is 2409470633. The next prime is 2409470641. The reversal of 2409470640 is 460749042.

2409470640 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 4 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2409470595 and 2409470604.

It is not an unprimeable number, because it can be changed into a prime (2409470641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419790 + ... + 425490.

Almost surely, 2^2409470640 is an apocalyptic number.

2409470640 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 2409470640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053506184).

2409470640 is an abundant number, since it is smaller than the sum of its proper divisors (5697541728).

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

2409470640 is a wasteful number, since it uses less digits than its factorization.

2409470640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2409470640 is about 49086.3590012541. The cubic root of 2409470640 is about 1340.6246883139.

It can be divided in two parts, 2409470 and 640, that added together give a triangular number (2410110 = T₂₁₉₅).

The spelling of 2409470640 in words is "two billion, four hundred nine million, four hundred seventy thousand, six hundred forty".