2432806740 has 288 divisors, whose sum is σ = 9561726720. Its totient is φ = 486217728.

The previous prime is 2432806637. The next prime is 2432806741. The reversal of 2432806740 is 476082342.

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 = 2432806695 and 2432806704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432806741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307312 + ... + 315128.

It is an arithmetic number, because the mean of its divisors is an integer number (33200440).

Almost surely, 2^2432806740 is an apocalyptic number.

2432806740 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 2432806740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780863360).

2432806740 is an abundant number, since it is smaller than the sum of its proper divisors (7128919980).

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

2432806740 is a wasteful number, since it uses less digits than its factorization.

2432806740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2432806740 is about 49323.4907523788. The cubic root of 2432806740 is about 1344.9388436513.

The spelling of 2432806740 in words is "two billion, four hundred thirty-two million, eight hundred six thousand, seven hundred forty".