2420429760 has 672 divisors, whose sum is σ = 10270540800. Its totient is φ = 510935040.

The previous prime is 2420429707. The next prime is 2420429761. The reversal of 2420429760 is 679240242.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420429761) 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 95 ways as a sum of consecutive naturals, for example, 27195796 + ... + 27195884.

Almost surely, 2^2420429760 is an apocalyptic number.

2420429760 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 2420429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135270400).

2420429760 is an abundant number, since it is smaller than the sum of its proper divisors (7850111040).

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

2420429760 is a wasteful number, since it uses less digits than its factorization.

2420429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

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

The square root of 2420429760 is about 49197.8633682399. The cubic root of 2420429760 is about 1342.6541587171.

The spelling of 2420429760 in words is "two billion, four hundred twenty million, four hundred twenty-nine thousand, seven hundred sixty".