2409465240 has 768 divisors, whose sum is σ = 10483200000. Its totient is φ = 475517952.

The previous prime is 2409465167. The next prime is 2409465251. The reversal of 2409465240 is 425649042.

2409465240 is a `hidden beast` number, since 2 + 40 + 94 + 6 + 524 + 0 = 666.

2409465240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2409465195 and 2409465204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30499521 + ... + 30499599.

It is an arithmetic number, because the mean of its divisors is an integer number (13650000).

Almost surely, 2^2409465240 is an apocalyptic number.

2409465240 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 2409465240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600000).

2409465240 is an abundant number, since it is smaller than the sum of its proper divisors (8073734760).

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

2409465240 is a wasteful number, since it uses less digits than its factorization.

2409465240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2409465240 is about 49086.3039961250. The cubic root of 2409465240 is about 1340.6236867968.

The spelling of 2409465240 in words is "two billion, four hundred nine million, four hundred sixty-five thousand, two hundred forty".