2432960640 has 768 divisors, whose sum is σ = 10081843200. Its totient is φ = 534159360.

The previous prime is 2432960633. The next prime is 2432960653. The reversal of 2432960640 is 460692342.

2432960640 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 9 + 6 + 0 + 640 = 666.

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 = 2432960595 and 2432960604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51765097 + ... + 51765143.

It is an arithmetic number, because the mean of its divisors is an integer number (13127400).

Almost surely, 2^2432960640 is an apocalyptic number.

2432960640 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 2432960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040921600).

2432960640 is an abundant number, since it is smaller than the sum of its proper divisors (7648882560).

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

2432960640 is a wasteful number, since it uses less digits than its factorization.

2432960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2432960640 is about 49325.0508362637. The cubic root of 2432960640 is about 1344.9672034494.

It can be divided in two parts, 2432960 and 640, that added together give a square (2433600 = 1560²).

The spelling of 2432960640 in words is "two billion, four hundred thirty-two million, nine hundred sixty thousand, six hundred forty".