2429460640 has 48 divisors (see below), whose sum is σ = 5847915528. Its totient is φ = 953445376.

The previous prime is 2429460637. The next prime is 2429460643. The reversal of 2429460640 is 460649242.

It is an interprime number because it is at equal distance from previous prime (2429460637) and next prime (2429460643).

It can be written as a sum of positive squares in 4 ways, for example, as 1870043536 + 559417104 = 43244^2 + 23652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2429460640.

It is not an unprimeable number, because it can be changed into a prime (2429460643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134767 + ... + 151726.

Almost surely, 2^2429460640 is an apocalyptic number.

2429460640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2429460640 is an abundant number, since it is smaller than the sum of its proper divisors (3418454888).

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

2429460640 is a wasteful number, since it uses less digits than its factorization.

2429460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286561 (or 286553 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 2429460640 is about 49289.5591378134. The cubic root of 2429460640 is about 1344.3219478635.

The spelling of 2429460640 in words is "two billion, four hundred twenty-nine million, four hundred sixty thousand, six hundred forty".