2407149540 has 72 divisors (see below), whose sum is σ = 7311697848. Its totient is φ = 641026560.

The previous prime is 2407149529. The next prime is 2407149557. The reversal of 2407149540 is 459417042.

It is a happy number.

2407149540 is a `hidden beast` number, since 2 + 4 + 0 + 71 + 49 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7717284 + 2399432256 = 2778^2 + 48984^2 .

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 = 2407149495 and 2407149504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128194 + ... + 145766.

It is an arithmetic number, because the mean of its divisors is an integer number (101551359).

Almost surely, 2^2407149540 is an apocalyptic number.

2407149540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2407149540 is an abundant number, since it is smaller than the sum of its proper divisors (4904548308).

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

2407149540 is a wasteful number, since it uses less digits than its factorization.

2407149540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18349 (or 18344 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2407149540 is about 49062.7102798042. The cubic root of 2407149540 is about 1340.1940648613.

The spelling of 2407149540 in words is "two billion, four hundred seven million, one hundred forty-nine thousand, five hundred forty".