2429752640 has 56 divisors (see below), whose sum is σ = 6612404352. Its totient is φ = 833057280.

The previous prime is 2429752613. The next prime is 2429752669. The reversal of 2429752640 is 462579242.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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, 540116 + ... + 544595.

Almost surely, 2^2429752640 is an apocalyptic number.

2429752640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2429752640 is an abundant number, since it is smaller than the sum of its proper divisors (4182651712).

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

2429752640 is a wasteful number, since it uses less digits than its factorization.

2429752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084735 (or 1084725 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 2429752640 is about 49292.5211365781. The cubic root of 2429752640 is about 1344.3758043007.

The spelling of 2429752640 in words is "two billion, four hundred twenty-nine million, seven hundred fifty-two thousand, six hundred forty".